:: SPPOL_1 semantic presentation

REAL is non empty non trivial V48() V49() V50() V54() non finite set
NAT is non empty epsilon-transitive epsilon-connected ordinal V48() V49() V50() V51() V52() V53() V54() Element of bool REAL
bool REAL is non empty set
COMPLEX is non empty non trivial V48() V54() non finite set
RAT is non empty non trivial V48() V49() V50() V51() V54() non finite set
INT is non empty non trivial V48() V49() V50() V51() V52() V54() non finite set
omega is non empty epsilon-transitive epsilon-connected ordinal V48() V49() V50() V51() V52() V53() V54() set
bool omega is non empty set
bool NAT is non empty set
[:COMPLEX,COMPLEX:] is non empty V36() set
bool [:COMPLEX,COMPLEX:] is non empty set
[:COMPLEX,REAL:] is non empty V36() V37() V38() set
bool [:COMPLEX,REAL:] is non empty set
2 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
[:2,2:] is non empty V23( RAT ) V23( INT ) V36() V37() V38() V39() set
[:[:2,2:],2:] is non empty V23( RAT ) V23( INT ) V36() V37() V38() V39() set
bool [:[:2,2:],2:] is non empty set
[:REAL,REAL:] is non empty V36() V37() V38() set
bool [:REAL,REAL:] is non empty set
K409() is non empty V124() L9()
the carrier of K409() is non empty set
K414() is non empty L9()
K415() is non empty V124() M20(K414())
K416() is non empty V124() V155() V201() M23(K414(),K415())
K418() is non empty V124() V155() V157() V159() L9()
K419() is non empty V124() V155() V201() M20(K418())
I[01] is TopStruct
the carrier of I[01] is set
1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
[:1,1:] is non empty V23( RAT ) V23( INT ) V36() V37() V38() V39() set
bool [:1,1:] is non empty set
[:[:1,1:],1:] is non empty V23( RAT ) V23( INT ) V36() V37() V38() V39() set
bool [:[:1,1:],1:] is non empty set
[:[:1,1:],REAL:] is non empty V36() V37() V38() set
bool [:[:1,1:],REAL:] is non empty set
[:[:REAL,REAL:],REAL:] is non empty V36() V37() V38() set
bool [:[:REAL,REAL:],REAL:] is non empty set
[:[:2,2:],REAL:] is non empty V36() V37() V38() set
bool [:[:2,2:],REAL:] is non empty set
RealSpace is strict MetrStruct
K506() is TopSpace-like TopStruct
TOP-REAL 2 is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL 2) is non empty functional set
bool the carrier of (TOP-REAL 2) is non empty set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is non empty V36() set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is non empty set
[:RAT,RAT:] is non empty V23( RAT ) V36() V37() V38() set
bool [:RAT,RAT:] is non empty set
[:[:RAT,RAT:],RAT:] is non empty V23( RAT ) V36() V37() V38() set
bool [:[:RAT,RAT:],RAT:] is non empty set
[:INT,INT:] is non empty V23( RAT ) V23( INT ) V36() V37() V38() set
bool [:INT,INT:] is non empty set
[:[:INT,INT:],INT:] is non empty V23( RAT ) V23( INT ) V36() V37() V38() set
bool [:[:INT,INT:],INT:] is non empty set
[:NAT,NAT:] is non empty V23( RAT ) V23( INT ) V36() V37() V38() V39() set
[:[:NAT,NAT:],NAT:] is non empty V23( RAT ) V23( INT ) V36() V37() V38() V39() set
bool [:[:NAT,NAT:],NAT:] is non empty set
{} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() real ext-real non positive non negative Function-like functional V46() V48() V49() V50() V51() V52() V53() V54() finite V59() FinSequence-membered set
3 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() real ext-real non positive non negative Function-like functional V46() V47() V48() V49() V50() V51() V52() V53() V54() finite V59() FinSequence-membered Element of NAT
K507(0,1) is non empty strict TopSpace-like SubSpace of K506()
K508() is TopSpace-like SubSpace of K506()
the carrier of K508() is set
q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() set
q - 1 is V14() real ext-real V46() Element of REAL
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
(c₁ + 1) - 1 is V14() real ext-real V46() Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ - q is V14() real ext-real V46() Element of REAL
r is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
Seg r is V48() V49() V50() V51() V52() V53() finite V72(r) Element of bool NAT
F₁() is non empty set
F₂() is V19() V22( NAT ) V23(F₁()) Function-like finite FinSequence-like FinSubsequence-like FinSequence of F₁()
dom F₂() is V48() V49() V50() V51() V52() V53() finite Element of bool NAT
{ F₃(F₂(),b₁) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( b₁ in dom F₂() & P₁[b₁] ) } is set
{ H₁(b₁) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( b₁ in dom F₂() & P₁[b₁] ) } is set
{ H₁(b₁) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : b₁ in dom F₂() } is set
r is set
t is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
F₃(F₂(),t) is set
F₁() is non empty set
F₂() is V19() V22( NAT ) V23(F₁()) Function-like finite FinSequence-like FinSubsequence-like FinSequence of F₁()
len F₂() is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ F₃(F₂(),b₁) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ <= len F₂() & P₁[b₁] ) } is set
{ H₁(b₁) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ <= len F₂() & P₁[b₁] ) } is set
dom F₂() is V48() V49() V50() V51() V52() V53() finite Element of bool NAT
{ H₁(b₁) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : b₁ in dom F₂() } is set
r is set
t is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
F₃(F₂(),t) is set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
REAL c₁ is non empty functional FinSequence-membered M13( REAL )
K266(c₁,REAL) is functional FinSequence-membered M13( REAL )
q is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
r is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
q - r is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(q - r).| is V14() real ext-real non negative Element of REAL
K396((q - r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((q - r),(q - r)) is V19() Function-like set
K402(K396((q - r))) is V14() real ext-real Element of REAL
K73(K402(K396((q - r)))) is V14() real ext-real Element of REAL
t is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
r - t is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(r - t).| is V14() real ext-real non negative Element of REAL
K396((r - t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((r - t),(r - t)) is V19() Function-like set
K402(K396((r - t))) is V14() real ext-real Element of REAL
K73(K402(K396((r - t)))) is V14() real ext-real Element of REAL
|.(q - r).| - |.(r - t).| is V14() real ext-real Element of REAL
q - t is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(q - t).| is V14() real ext-real non negative Element of REAL
K396((q - t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((q - t),(q - t)) is V19() Function-like set
K402(K396((q - t))) is V14() real ext-real Element of REAL
K73(K402(K396((q - t)))) is V14() real ext-real Element of REAL
t - r is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(t - r).| is V14() real ext-real non negative Element of REAL
K396((t - r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((t - r),(t - r)) is V19() Function-like set
K402(K396((t - r))) is V14() real ext-real Element of REAL
K73(K402(K396((t - r)))) is V14() real ext-real Element of REAL
|.(q - t).| + |.(t - r).| is V14() real ext-real non negative Element of REAL
|.(q - t).| + |.(r - t).| is V14() real ext-real non negative Element of REAL
(|.(q - t).| + |.(r - t).|) - |.(r - t).| is V14() real ext-real Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
REAL c₁ is non empty functional FinSequence-membered M13( REAL )
K266(c₁,REAL) is functional FinSequence-membered M13( REAL )
r is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
q is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
r - q is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(r - q).| is V14() real ext-real non negative Element of REAL
K396((r - q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((r - q),(r - q)) is V19() Function-like set
K402(K396((r - q))) is V14() real ext-real Element of REAL
K73(K402(K396((r - q)))) is V14() real ext-real Element of REAL
t is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
r - t is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(r - t).| is V14() real ext-real non negative Element of REAL
K396((r - t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((r - t),(r - t)) is V19() Function-like set
K402(K396((r - t))) is V14() real ext-real Element of REAL
K73(K402(K396((r - t)))) is V14() real ext-real Element of REAL
|.(r - q).| - |.(r - t).| is V14() real ext-real Element of REAL
t - q is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(t - q).| is V14() real ext-real non negative Element of REAL
K396((t - q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((t - q),(t - q)) is V19() Function-like set
K402(K396((t - q))) is V14() real ext-real Element of REAL
K73(K402(K396((t - q)))) is V14() real ext-real Element of REAL
q - r is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(q - r).| is V14() real ext-real non negative Element of REAL
K396((q - r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((q - r),(q - r)) is V19() Function-like set
K402(K396((q - r))) is V14() real ext-real Element of REAL
K73(K402(K396((q - r)))) is V14() real ext-real Element of REAL
q - t is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(q - t).| is V14() real ext-real non negative Element of REAL
K396((q - t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((q - t),(q - t)) is V19() Function-like set
K402(K396((q - t))) is V14() real ext-real Element of REAL
K73(K402(K396((q - t)))) is V14() real ext-real Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
Euclid c₁ is non empty strict Reflexive discerning V226() triangle MetrStruct
REAL c₁ is non empty functional FinSequence-membered M13( REAL )
K266(c₁,REAL) is functional FinSequence-membered M13( REAL )
Pitag_dist c₁ is V19() V22([:(REAL c₁),(REAL c₁):]) V23( REAL ) Function-like V33([:(REAL c₁),(REAL c₁):], REAL ) V36() V37() V38() Element of bool [:[:(REAL c₁),(REAL c₁):],REAL:]
[:(REAL c₁),(REAL c₁):] is non empty set
[:[:(REAL c₁),(REAL c₁):],REAL:] is non empty V36() V37() V38() set
bool [:[:(REAL c₁),(REAL c₁):],REAL:] is non empty set
MetrStruct(# (REAL c₁),(Pitag_dist c₁) #) is strict MetrStruct
the carrier of (Euclid c₁) is non empty set
q is Element of the carrier of (Euclid c₁)
r is Element of the carrier of (Euclid c₁)
dist (q,r) is V14() real ext-real Element of REAL
t is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
p0 is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
t - p0 is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(t - p0).| is V14() real ext-real non negative Element of REAL
K396((t - p0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((t - p0),(t - p0)) is V19() Function-like set
K402(K396((t - p0))) is V14() real ext-real Element of REAL
K73(K402(K396((t - p0)))) is V14() real ext-real Element of REAL
(Pitag_dist c₁) . (t,p0) is V14() real ext-real Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
bool the carrier of (TOP-REAL c₁) is non empty set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (q,r) is non empty functional V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
{ (((1 - b₁) * q) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is non empty functional Element of bool the carrier of (TOP-REAL c₁)
{ b₁ where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 & ((1 - b₁) * q) + (b₁ * r) in t ) } is set
q1 is set
q2 is V14() real ext-real Element of REAL
1 - q2 is V14() real ext-real Element of REAL
(1 - q2) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q2 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,q2) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q2) * q) + (q2 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
the U6 of (TOP-REAL c₁) is V19() V22([: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):]) V23( the carrier of (TOP-REAL c₁)) Function-like V33([: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁)) Element of bool [:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):]
[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):] is non empty set
[:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):] is non empty set
bool [:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):] is non empty set
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - q2) * q),(q2 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - q2) * q),(q2 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q1 is V48() V49() V50() Element of bool REAL
lower_bound q1 is V14() real ext-real Element of REAL
q2 is V14() real ext-real Element of REAL
1 - q2 is V14() real ext-real Element of REAL
(1 - q2) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q2 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,q2) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q2) * q) + (q2 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
the U6 of (TOP-REAL c₁) is V19() V22([: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):]) V23( the carrier of (TOP-REAL c₁)) Function-like V33([: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁)) Element of bool [:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):]
[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):] is non empty set
[:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):] is non empty set
bool [:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):] is non empty set
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - q2) * q),(q2 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - q2) * q),(q2 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F1 is ext-real set
PP is V14() real ext-real Element of REAL
1 - PP is V14() real ext-real Element of REAL
(1 - PP) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - PP)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
PP * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - PP) * q) + (PP * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - PP) * q),(PP * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - PP) * q),(PP * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
Euclid c₁ is non empty strict Reflexive discerning V226() triangle MetrStruct
REAL c₁ is non empty functional FinSequence-membered M13( REAL )
K266(c₁,REAL) is functional FinSequence-membered M13( REAL )
Pitag_dist c₁ is V19() V22([:(REAL c₁),(REAL c₁):]) V23( REAL ) Function-like V33([:(REAL c₁),(REAL c₁):], REAL ) V36() V37() V38() Element of bool [:[:(REAL c₁),(REAL c₁):],REAL:]
[:(REAL c₁),(REAL c₁):] is non empty set
[:[:(REAL c₁),(REAL c₁):],REAL:] is non empty V36() V37() V38() set
bool [:[:(REAL c₁),(REAL c₁):],REAL:] is non empty set
MetrStruct(# (REAL c₁),(Pitag_dist c₁) #) is strict MetrStruct
the carrier of (Euclid c₁) is non empty set
the topology of (TOP-REAL c₁) is non empty Element of bool (bool the carrier of (TOP-REAL c₁))
bool (bool the carrier of (TOP-REAL c₁)) is non empty set
TopStruct(# the carrier of (TOP-REAL c₁), the topology of (TOP-REAL c₁) #) is non empty strict TopSpace-like TopStruct
TopSpaceMetr (Euclid c₁) is TopStruct
the carrier of (TopSpaceMetr (Euclid c₁)) is set
bool the carrier of (TopSpaceMetr (Euclid c₁)) is non empty set
t ` is functional Element of bool the carrier of (TOP-REAL c₁)
the carrier of (TOP-REAL c₁) \ t is set
u0 is Element of bool the carrier of (TopSpaceMetr (Euclid c₁))
F2 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
P2 is V14() real ext-real Element of REAL
1 - P2 is V14() real ext-real Element of REAL
(1 - P2) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - P2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
P2 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,P2) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - P2) * q) + (P2 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - P2) * q),(P2 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - P2) * q),(P2 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
the carrier of (TOP-REAL c₁) \ t is functional Element of bool the carrier of (TOP-REAL c₁)
PP is Element of the carrier of (Euclid c₁)
F2 is V14() real ext-real set
Ball (PP,F2) is Element of bool the carrier of (Euclid c₁)
bool the carrier of (Euclid c₁) is non empty set
P2 is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
j is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
P2 - j is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(P2 - j).| is V14() real ext-real non negative Element of REAL
K396((P2 - j)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((P2 - j),(P2 - j)) is V19() Function-like set
K402(K396((P2 - j))) is V14() real ext-real Element of REAL
K73(K402(K396((P2 - j)))) is V14() real ext-real Element of REAL
F2 / |.(P2 - j).| is V14() real ext-real Element of REAL
q2 + (F2 / |.(P2 - j).|) is V14() real ext-real Element of REAL
F is V14() real ext-real Element of REAL
F is V14() real ext-real set
P1 is V14() real ext-real Element of REAL
P1 + 0 is V14() real ext-real Element of REAL
(F2 / |.(P2 - j).|) - 0 is V14() real ext-real Element of REAL
P1 - q2 is V14() real ext-real Element of REAL
1 - P1 is V14() real ext-real Element of REAL
(1 - P1) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - P1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
P1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,P1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - P1) * q) + (P1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - P1) * q),(P1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - P1) * q),(P1 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - P1) * q) + (P1 * r)) - (((1 - q2) * q) + (q2 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
- (((1 - q2) * q) + (q2 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390((((1 - q2) * q) + (q2 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) is V14() real ext-real non positive V46() set
K47(1) * (((1 - q2) * q) + (q2 * r)) is V19() Function-like set
K321((TOP-REAL c₁),(((1 - P1) * q) + (P1 * r)),(- (((1 - q2) * q) + (q2 * r)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - P1) * q) + (P1 * r)),(- (((1 - q2) * q) + (q2 * r)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - P1) * q) + (P1 * r)),(- (((1 - q2) * q) + (q2 * r)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((((1 - P1) * q) + (P1 * r)),(((1 - q2) * q) + (q2 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((((1 - q2) * q) + (q2 * r))) is V19() Function-like V36() set
K172((((1 - P1) * q) + (P1 * r)),K201((((1 - q2) * q) + (q2 * r)))) is V19() Function-like set
- ((1 - q2) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390(((1 - q2) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((1 - q2) * q) is V19() Function-like set
(- ((1 - q2) * q)) - (q2 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
- (q2 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390((q2 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (q2 * r) is V19() Function-like set
K321((TOP-REAL c₁),(- ((1 - q2) * q)),(- (q2 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(- ((1 - q2) * q)),(- (q2 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((- ((1 - q2) * q)),(- (q2 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((- ((1 - q2) * q)),(q2 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((q2 * r)) is V19() Function-like V36() set
K172((- ((1 - q2) * q)),K201((q2 * r))) is V19() Function-like set
(((1 - P1) * q) + (P1 * r)) + ((- ((1 - q2) * q)) - (q2 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - P1) * q) + (P1 * r)),((- ((1 - q2) * q)) - (q2 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - P1) * q) + (P1 * r)),((- ((1 - q2) * q)) - (q2 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - P1) * q) + (P1 * r)) + (- ((1 - q2) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - P1) * q) + (P1 * r)),(- ((1 - q2) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - P1) * q) + (P1 * r)),(- ((1 - q2) * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - P1) * q) + (P1 * r)) + (- ((1 - q2) * q))) + (- (q2 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - P1) * q) + (P1 * r)) + (- ((1 - q2) * q))),(- (q2 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - P1) * q) + (P1 * r)) + (- ((1 - q2) * q))),(- (q2 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - P1) * q) + (- ((1 - q2) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - P1) * q),(- ((1 - q2) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - P1) * q),(- ((1 - q2) * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(P1 * r) + (((1 - P1) * q) + (- ((1 - q2) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(P1 * r),(((1 - P1) * q) + (- ((1 - q2) * q)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((P1 * r),(((1 - P1) * q) + (- ((1 - q2) * q)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((P1 * r) + (((1 - P1) * q) + (- ((1 - q2) * q)))) + (- (q2 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((P1 * r) + (((1 - P1) * q) + (- ((1 - q2) * q)))),(- (q2 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((P1 * r) + (((1 - P1) * q) + (- ((1 - q2) * q)))),(- (q2 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - P1) * q) + (- ((1 - q2) * q))) + (P1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - P1) * q) + (- ((1 - q2) * q))),(P1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - P1) * q) + (- ((1 - q2) * q))),(P1 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- q2 is V14() real ext-real Element of REAL
(- q2) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,(- q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - P1) * q) + (- ((1 - q2) * q))) + (P1 * r)) + ((- q2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - P1) * q) + (- ((1 - q2) * q))) + (P1 * r)),((- q2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - P1) * q) + (- ((1 - q2) * q))) + (P1 * r)),((- q2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (1 - q2) is V14() real ext-real Element of REAL
(- (1 - q2)) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(- (1 - q2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - P1) * q) + ((- (1 - q2)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - P1) * q),((- (1 - q2)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - P1) * q),((- (1 - q2)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - P1) * q) + ((- (1 - q2)) * q)) + (P1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - P1) * q) + ((- (1 - q2)) * q)),(P1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - P1) * q) + ((- (1 - q2)) * q)),(P1 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - P1) * q) + ((- (1 - q2)) * q)) + (P1 * r)) + ((- q2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - P1) * q) + ((- (1 - q2)) * q)) + (P1 * r)),((- q2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - P1) * q) + ((- (1 - q2)) * q)) + (P1 * r)),((- q2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(P1 * r) + ((- q2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(P1 * r),((- q2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((P1 * r),((- q2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - P1) * q) + ((- (1 - q2)) * q)) + ((P1 * r) + ((- q2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - P1) * q) + ((- (1 - q2)) * q)),((P1 * r) + ((- q2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - P1) * q) + ((- (1 - q2)) * q)),((P1 * r) + ((- q2) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
P1 + (- q2) is V14() real ext-real Element of REAL
(P1 + (- q2)) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,(P1 + (- q2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - P1) * q) + ((- (1 - q2)) * q)) + ((P1 + (- q2)) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - P1) * q) + ((- (1 - q2)) * q)),((P1 + (- q2)) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - P1) * q) + ((- (1 - q2)) * q)),((P1 + (- q2)) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - P1) + (- (1 - q2)) is V14() real ext-real Element of REAL
((1 - P1) + (- (1 - q2))) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,((1 - P1) + (- (1 - q2)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(P1 - q2) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,(P1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - P1) + (- (1 - q2))) * q) + ((P1 - q2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - P1) + (- (1 - q2))) * q),((P1 - q2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - P1) + (- (1 - q2))) * q),((P1 - q2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (P1 - q2) is V14() real ext-real Element of REAL
(- (P1 - q2)) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(- (P1 - q2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- (P1 - q2)) * q) + ((P1 - q2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((- (P1 - q2)) * q),((P1 - q2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((- (P1 - q2)) * q),((P1 - q2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(P1 - q2) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(P1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((P1 - q2) * r) - ((P1 - q2) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
- ((P1 - q2) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390(((P1 - q2) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((P1 - q2) * q) is V19() Function-like set
K321((TOP-REAL c₁),((P1 - q2) * r),(- ((P1 - q2) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((P1 - q2) * r),(- ((P1 - q2) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((P1 - q2) * r),(- ((P1 - q2) * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392(((P1 - q2) * r),((P1 - q2) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(((P1 - q2) * q)) is V19() Function-like V36() set
K172(((P1 - q2) * r),K201(((P1 - q2) * q))) is V19() Function-like set
r - q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
- q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390(q) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * q is V19() Function-like set
K321((TOP-REAL c₁),r,(- q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),r,(- q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(r,(- q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392(r,q) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(q) is V19() Function-like V36() set
K172(r,K201(q)) is V19() Function-like set
(P1 - q2) * (r - q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394((r - q),(P1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(P1 - q2) * (P2 - j) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
QQ is Element of the carrier of (Euclid c₁)
dist (QQ,PP) is V14() real ext-real Element of REAL
r0 is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
r0 is V19() V22( NAT ) Function-like finite V72(c₁) FinSequence-like FinSubsequence-like Element of REAL c₁
r0 - r0 is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like M14( REAL , REAL c₁)
|.(r0 - r0).| is V14() real ext-real non negative Element of REAL
K396((r0 - r0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((r0 - r0),(r0 - r0)) is V19() Function-like set
K402(K396((r0 - r0))) is V14() real ext-real Element of REAL
K73(K402(K396((r0 - r0)))) is V14() real ext-real Element of REAL
|.((((1 - P1) * q) + (P1 * r)) - (((1 - q2) * q) + (q2 * r))).| is V14() real ext-real non negative Element of REAL
K396(((((1 - P1) * q) + (P1 * r)) - (((1 - q2) * q) + (q2 * r)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189(((((1 - P1) * q) + (P1 * r)) - (((1 - q2) * q) + (q2 * r))),((((1 - P1) * q) + (P1 * r)) - (((1 - q2) * q) + (q2 * r)))) is V19() Function-like set
K402(K396(((((1 - P1) * q) + (P1 * r)) - (((1 - q2) * q) + (q2 * r))))) is V14() real ext-real Element of REAL
K73(K402(K396(((((1 - P1) * q) + (P1 * r)) - (((1 - q2) * q) + (q2 * r)))))) is V14() real ext-real Element of REAL
|.((P1 - q2) * (P2 - j)).| is V14() real ext-real non negative Element of REAL
K396(((P1 - q2) * (P2 - j))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189(((P1 - q2) * (P2 - j)),((P1 - q2) * (P2 - j))) is V19() Function-like set
K402(K396(((P1 - q2) * (P2 - j)))) is V14() real ext-real Element of REAL
K73(K402(K396(((P1 - q2) * (P2 - j))))) is V14() real ext-real Element of REAL
abs (P1 - q2) is V14() real ext-real Element of REAL
(abs (P1 - q2)) * |.(P2 - j).| is V14() real ext-real Element of REAL
(P1 - q2) * |.(P2 - j).| is V14() real ext-real Element of REAL
(F2 / |.(P2 - j).|) * |.(P2 - j).| is V14() real ext-real Element of REAL
dist (PP,QQ) is V14() real ext-real Element of REAL
{ b₁ where b₁ is Element of the carrier of (Euclid c₁) : not F2 <= dist (PP,b₁) } is set
p is V14() real ext-real Element of REAL
1 - p is V14() real ext-real Element of REAL
(1 - p) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - p)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
p * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,p) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - p) * q) + (p * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - p) * q),(p * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - p) * q),(p * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
{q} is non empty functional finite V59() Element of bool the carrier of (TOP-REAL c₁)
(1 - q2) + q2 is V14() real ext-real Element of REAL
((1 - q2) + q2) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,((1 - q2) + q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
P2 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
F1 is V14() real ext-real Element of REAL
1 - F1 is V14() real ext-real Element of REAL
(1 - F1) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - F1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,F1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - F1) * q) + (F1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - F1) * q),(F1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - F1) * q),(F1 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (q,r) is non empty functional V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
bool the carrier of (TOP-REAL c₁) is non empty set
{ (((1 - b₁) * q) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (t,p0) is non empty functional V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
{ (((1 - b₁) * t) + (b₁ * p0)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
q1 is V14() real ext-real Element of REAL
1 - q1 is V14() real ext-real Element of REAL
(1 - q1) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - q1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,q1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q1) * q) + (q1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
the U6 of (TOP-REAL c₁) is V19() V22([: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):]) V23( the carrier of (TOP-REAL c₁)) Function-like V33([: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁)) Element of bool [:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):]
[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):] is non empty set
[:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):] is non empty set
bool [:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):] is non empty set
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - q1) * q),(q1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - q1) * q),(q1 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q2 is V14() real ext-real Element of REAL
1 - q2 is V14() real ext-real Element of REAL
(1 - q2) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(t,(1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q2 * p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(p0,q2) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q2) * t) + (q2 * p0) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - q2) * t),(q2 * p0)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - q2) * t),(q2 * p0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F1 is V14() real ext-real Element of REAL
1 - F1 is V14() real ext-real Element of REAL
(1 - F1) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(1 - F1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,F1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - F1) * q) + (F1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - F1) * q),(F1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - F1) * q),(F1 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - q2) * (((1 - F1) * q) + (F1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394((((1 - F1) * q) + (F1 * r)),(1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q2 * ((1 - q1) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(((1 - q1) * q),q2) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q2 * (q1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394((q1 * r),q2) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(q2 * ((1 - q1) * q)) + (q2 * (q1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(q2 * ((1 - q1) * q)),(q2 * (q1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((q2 * ((1 - q1) * q)),(q2 * (q1 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q2) * (((1 - F1) * q) + (F1 * r))) + ((q2 * ((1 - q1) * q)) + (q2 * (q1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - q2) * (((1 - F1) * q) + (F1 * r))),((q2 * ((1 - q1) * q)) + (q2 * (q1 * r)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - q2) * (((1 - F1) * q) + (F1 * r))),((q2 * ((1 - q1) * q)) + (q2 * (q1 * r)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - q2) * ((1 - F1) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(((1 - F1) * q),(1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - q2) * (F1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394((F1 * r),(1 - q2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((1 - q2) * ((1 - F1) * q)),((1 - q2) * (F1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((1 - q2) * ((1 - F1) * q)),((1 - q2) * (F1 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))) + ((q2 * ((1 - q1) * q)) + (q2 * (q1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))),((q2 * ((1 - q1) * q)) + (q2 * (q1 * r)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))),((q2 * ((1 - q1) * q)) + (q2 * (q1 * r)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))) + (q2 * ((1 - q1) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))),(q2 * ((1 - q1) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))),(q2 * ((1 - q1) * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))) + (q2 * ((1 - q1) * q))) + (q2 * (q1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))) + (q2 * ((1 - q1) * q))),(q2 * (q1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - q2) * ((1 - F1) * q)) + ((1 - q2) * (F1 * r))) + (q2 * ((1 - q1) * q))),(q2 * (q1 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - q2) * (1 - F1) is V14() real ext-real Element of REAL
((1 - q2) * (1 - F1)) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,((1 - q2) * (1 - F1))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - q2) * (1 - F1)) * q) + ((1 - q2) * (F1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - q2) * (1 - F1)) * q),((1 - q2) * (F1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - q2) * (1 - F1)) * q),((1 - q2) * (F1 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - q2) * (1 - F1)) * q) + ((1 - q2) * (F1 * r))) + (q2 * ((1 - q1) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - q2) * (1 - F1)) * q) + ((1 - q2) * (F1 * r))),(q2 * ((1 - q1) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - q2) * (1 - F1)) * q) + ((1 - q2) * (F1 * r))),(q2 * ((1 - q1) * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((1 - q2) * (1 - F1)) * q) + ((1 - q2) * (F1 * r))) + (q2 * ((1 - q1) * q))) + (q2 * (q1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((((1 - q2) * (1 - F1)) * q) + ((1 - q2) * (F1 * r))) + (q2 * ((1 - q1) * q))),(q2 * (q1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((((1 - q2) * (1 - F1)) * q) + ((1 - q2) * (F1 * r))) + (q2 * ((1 - q1) * q))),(q2 * (q1 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - q2) * F1 is V14() real ext-real Element of REAL
((1 - q2) * F1) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,((1 - q2) * F1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - q2) * (1 - F1)) * q),(((1 - q2) * F1) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - q2) * (1 - F1)) * q),(((1 - q2) * F1) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + (q2 * ((1 - q1) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)),(q2 * ((1 - q1) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)),(q2 * ((1 - q1) * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + (q2 * ((1 - q1) * q))) + (q2 * (q1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + (q2 * ((1 - q1) * q))),(q2 * (q1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + (q2 * ((1 - q1) * q))),(q2 * (q1 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q2 * (1 - q1) is V14() real ext-real Element of REAL
(q2 * (1 - q1)) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(q2 * (1 - q1))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + ((q2 * (1 - q1)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + ((q2 * (1 - q1)) * q)) + (q2 * (q1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + ((q2 * (1 - q1)) * q)),(q2 * (q1 * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + ((q2 * (1 - q1)) * q)),(q2 * (q1 * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q2 * q1 is V14() real ext-real Element of REAL
(q2 * q1) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,(q2 * q1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + ((q2 * (1 - q1)) * q)) + ((q2 * q1) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + ((q2 * (1 - q1)) * q)),((q2 * q1) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((((1 - q2) * (1 - F1)) * q) + (((1 - q2) * F1) * r)) + ((q2 * (1 - q1)) * q)),((q2 * q1) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - q2) * F1) * r) + (((1 - q2) * (1 - F1)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - q2) * F1) * r),(((1 - q2) * (1 - F1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - q2) * F1) * r),(((1 - q2) * (1 - F1)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((q2 * q1) * r) + ((((1 - q2) * F1) * r) + (((1 - q2) * (1 - F1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((q2 * q1) * r),((((1 - q2) * F1) * r) + (((1 - q2) * (1 - F1)) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((q2 * q1) * r),((((1 - q2) * F1) * r) + (((1 - q2) * (1 - F1)) * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((q2 * q1) * r) + ((((1 - q2) * F1) * r) + (((1 - q2) * (1 - F1)) * q))) + ((q2 * (1 - q1)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((q2 * q1) * r) + ((((1 - q2) * F1) * r) + (((1 - q2) * (1 - F1)) * q))),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((q2 * q1) * r) + ((((1 - q2) * F1) * r) + (((1 - q2) * (1 - F1)) * q))),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((q2 * q1) * r) + (((1 - q2) * F1) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((q2 * q1) * r),(((1 - q2) * F1) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((q2 * q1) * r),(((1 - q2) * F1) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((q2 * q1) * r) + (((1 - q2) * F1) * r)) + (((1 - q2) * (1 - F1)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((q2 * q1) * r) + (((1 - q2) * F1) * r)),(((1 - q2) * (1 - F1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((q2 * q1) * r) + (((1 - q2) * F1) * r)),(((1 - q2) * (1 - F1)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((q2 * q1) * r) + (((1 - q2) * F1) * r)) + (((1 - q2) * (1 - F1)) * q)) + ((q2 * (1 - q1)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((q2 * q1) * r) + (((1 - q2) * F1) * r)) + (((1 - q2) * (1 - F1)) * q)),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((q2 * q1) * r) + (((1 - q2) * F1) * r)) + (((1 - q2) * (1 - F1)) * q)),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(q2 * q1) + ((1 - q2) * F1) is V14() real ext-real Element of REAL
((q2 * q1) + ((1 - q2) * F1)) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,((q2 * q1) + ((1 - q2) * F1))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((q2 * q1) + ((1 - q2) * F1)) * r) + (((1 - q2) * (1 - F1)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((q2 * q1) + ((1 - q2) * F1)) * r),(((1 - q2) * (1 - F1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((q2 * q1) + ((1 - q2) * F1)) * r),(((1 - q2) * (1 - F1)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((q2 * q1) + ((1 - q2) * F1)) * r) + (((1 - q2) * (1 - F1)) * q)) + ((q2 * (1 - q1)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((q2 * q1) + ((1 - q2) * F1)) * r) + (((1 - q2) * (1 - F1)) * q)),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((q2 * q1) + ((1 - q2) * F1)) * r) + (((1 - q2) * (1 - F1)) * q)),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - q2) * (1 - F1)) * q) + ((q2 * (1 - q1)) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((1 - q2) * (1 - F1)) * q),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((1 - q2) * (1 - F1)) * q),((q2 * (1 - q1)) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((q2 * q1) + ((1 - q2) * F1)) * r) + ((((1 - q2) * (1 - F1)) * q) + ((q2 * (1 - q1)) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((q2 * q1) + ((1 - q2) * F1)) * r),((((1 - q2) * (1 - F1)) * q) + ((q2 * (1 - q1)) * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((q2 * q1) + ((1 - q2) * F1)) * r),((((1 - q2) * (1 - F1)) * q) + ((q2 * (1 - q1)) * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q2) * (1 - F1)) + (q2 * (1 - q1)) is V14() real ext-real Element of REAL
(((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,(((1 - q2) * (1 - F1)) + (q2 * (1 - q1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((q2 * q1) + ((1 - q2) * F1)) * r) + ((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((q2 * q1) + ((1 - q2) * F1)) * r),((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((q2 * q1) + ((1 - q2) * F1)) * r),((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL c₁) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like V86( TOP-REAL c₁) Element of the carrier of (TOP-REAL c₁)
the ZeroF of (TOP-REAL c₁) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
((((q2 * q1) + ((1 - q2) * F1)) * r) + ((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q)) - q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
- q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390(q) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) is V14() real ext-real non positive V46() set
K47(1) * q is V19() Function-like set
K321((TOP-REAL c₁),((((q2 * q1) + ((1 - q2) * F1)) * r) + ((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q)),(- q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((q2 * q1) + ((1 - q2) * F1)) * r) + ((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q)),(- q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((q2 * q1) + ((1 - q2) * F1)) * r) + ((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q)),(- q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392(((((q2 * q1) + ((1 - q2) * F1)) * r) + ((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q)),q) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(q) is V19() Function-like V36() set
K172(((((q2 * q1) + ((1 - q2) * F1)) * r) + ((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q)),K201(q)) is V19() Function-like set
((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) - q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K321((TOP-REAL c₁),((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),(- q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),(- q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),(- q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),q) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K172(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),K201(q)) is V19() Function-like set
(((q2 * q1) + ((1 - q2) * F1)) * r) + (((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) - q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((q2 * q1) + ((1 - q2) * F1)) * r),(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) - q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((q2 * q1) + ((1 - q2) * F1)) * r),(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) - q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) - (1 * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
- (1 * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390((1 * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (1 * q) is V19() Function-like set
K321((TOP-REAL c₁),((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),(- (1 * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),(- (1 * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),(- (1 * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),(1 * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((1 * q)) is V19() Function-like V36() set
K172(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q),K201((1 * q))) is V19() Function-like set
(((q2 * q1) + ((1 - q2) * F1)) * r) + (((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) - (1 * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((q2 * q1) + ((1 - q2) * F1)) * r),(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) - (1 * q))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((q2 * q1) + ((1 - q2) * F1)) * r),(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) * q) - (1 * q))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1 is V14() real ext-real Element of REAL
((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(q,((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q) + (((q2 * q1) + ((1 - q2) * F1)) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q),(((q2 * q1) + ((1 - q2) * F1)) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q),(((q2 * q1) + ((1 - q2) * F1)) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (((q2 * q1) + ((1 - q2) * F1)) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390((((q2 * q1) + ((1 - q2) * F1)) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (((q2 * q1) + ((1 - q2) * F1)) * r) is V19() Function-like set
(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q) - (- (((q2 * q1) + ((1 - q2) * F1)) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
- (- (((q2 * q1) + ((1 - q2) * F1)) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390((- (((q2 * q1) + ((1 - q2) * F1)) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (- (((q2 * q1) + ((1 - q2) * F1)) * r)) is V19() Function-like set
K321((TOP-REAL c₁),(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q),(- (- (((q2 * q1) + ((1 - q2) * F1)) * r)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q),(- (- (((q2 * q1) + ((1 - q2) * F1)) * r)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q),(- (- (((q2 * q1) + ((1 - q2) * F1)) * r)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q),(- (((q2 * q1) + ((1 - q2) * F1)) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((- (((q2 * q1) + ((1 - q2) * F1)) * r))) is V19() Function-like V36() set
K172((((((1 - q2) * (1 - F1)) + (q2 * (1 - q1))) - 1) * q),K201((- (((q2 * q1) + ((1 - q2) * F1)) * r)))) is V19() Function-like set
- ((q2 * q1) + ((1 - q2) * F1)) is V14() real ext-real Element of REAL
(- ((q2 * q1) + ((1 - q2) * F1))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(r,(- ((q2 * q1) + ((1 - q2) * F1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() real ext-real non positive non negative Function-like functional V46() V48() V49() V50() V51() V52() V53() V54() finite V59() FinSequence-membered Element of REAL
1 * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(t,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 * t) + (0. (TOP-REAL c₁)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(1 * t),(0. (TOP-REAL c₁))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((1 * t),(0. (TOP-REAL c₁))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
t + (0. (TOP-REAL c₁)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),t,(0. (TOP-REAL c₁))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(t,(0. (TOP-REAL c₁))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K394(p0,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(0. (TOP-REAL c₁)) + (1 * p0) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(0. (TOP-REAL c₁)),(1 * p0)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((0. (TOP-REAL c₁)),(1 * p0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 * q) + (0. (TOP-REAL c₁)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),(1 * q),(0. (TOP-REAL c₁))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388((1 * q),(0. (TOP-REAL c₁))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q + (0. (TOP-REAL c₁)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),q,(0. (TOP-REAL c₁))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(q,(0. (TOP-REAL c₁))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
{q} is non empty functional finite V59() Element of bool the carrier of (TOP-REAL c₁)
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (q,r) is non empty functional V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
bool the carrier of (TOP-REAL c₁) is non empty set
{ (((1 - b₁) * q) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (t,p0) is non empty functional V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
{ (((1 - b₁) * t) + (b₁ * p0)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
{t} is non empty functional finite V59() Element of bool the carrier of (TOP-REAL c₁)
{p0} is non empty functional finite V59() Element of bool the carrier of (TOP-REAL c₁)
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (q,r) is non empty functional V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
bool the carrier of (TOP-REAL c₁) is non empty set
{ (((1 - b₁) * q) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(TOP-REAL c₁) | (LSeg (q,r)) is non empty strict TopSpace-like SubSpace of TOP-REAL c₁
{q} is non empty functional finite V59() Element of bool the carrier of (TOP-REAL c₁)
[#] ((TOP-REAL c₁) | (LSeg (q,r))) is non empty non proper closed Element of bool the carrier of ((TOP-REAL c₁) | (LSeg (q,r)))
the carrier of ((TOP-REAL c₁) | (LSeg (q,r))) is non empty set
bool the carrier of ((TOP-REAL c₁) | (LSeg (q,r))) is non empty set
Sspace q is non empty trivial finite 1 -element strict TopSpace-like V175() V176() V177() SubSpace of TOP-REAL c₁
1TopSp {q} is TopStruct
bool {q} is non empty finite V59() Element of bool (bool {q})
bool {q} is non empty finite V59() set
bool (bool {q}) is non empty finite V59() set
[#] (bool {q}) is non empty non proper finite V59() Element of bool (bool {q})
bool (bool {q}) is non empty finite V59() set
TopStruct(# {q},([#] (bool {q})) #) is non empty strict TopStruct
the carrier of ((TOP-REAL c₁) | (LSeg (q,r))) is non empty set
[: the carrier of I[01], the carrier of ((TOP-REAL c₁) | (LSeg (q,r))):] is set
bool [: the carrier of I[01], the carrier of ((TOP-REAL c₁) | (LSeg (q,r))):] is non empty set
q1 is V19() V22( the carrier of I[01]) V23( the carrier of ((TOP-REAL c₁) | (LSeg (q,r)))) Function-like V33( the carrier of I[01], the carrier of ((TOP-REAL c₁) | (LSeg (q,r)))) Element of bool [: the carrier of I[01], the carrier of ((TOP-REAL c₁) | (LSeg (q,r))):]
q1 . 0 is set
q1 . 1 is set
rng q1 is set
[#] ((TOP-REAL c₁) | (LSeg (q,r))) is non empty non proper closed Element of bool the carrier of ((TOP-REAL c₁) | (LSeg (q,r)))
bool the carrier of ((TOP-REAL c₁) | (LSeg (q,r))) is non empty set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
bool the carrier of (TOP-REAL c₁) is non empty set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
bool the carrier of (TOP-REAL c₁) is non empty set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
r is functional Element of bool the carrier of (TOP-REAL c₁)
t is functional Element of bool the carrier of (TOP-REAL c₁)
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
q1 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (p0,q1) is non empty functional closed compact V269( TOP-REAL c₁) V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
{ (((1 - b₁) * p0) + (b₁ * q1)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
{q} is non empty functional finite V59() Element of bool the carrier of (TOP-REAL c₁)
bool the carrier of (TOP-REAL c₁) is non empty set
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (r,t) is non empty functional closed compact V269( TOP-REAL c₁) V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
{ (((1 - b₁) * r) + (b₁ * t)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (q,r) is non empty functional closed compact V269( TOP-REAL c₁) V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
bool the carrier of (TOP-REAL c₁) is non empty set
{ (((1 - b₁) * q) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (t,p0) is non empty functional closed compact V269( TOP-REAL c₁) V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
{ (((1 - b₁) * t) + (b₁ * p0)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (r,q) is non empty functional closed compact V269( TOP-REAL c₁) V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
bool the carrier of (TOP-REAL c₁) is non empty set
{ (((1 - b₁) * r) + (b₁ * q)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
LSeg (r,t) is non empty functional closed compact V269( TOP-REAL c₁) V269( TOP-REAL c₁) Element of bool the carrier of (TOP-REAL c₁)
bool the carrier of (TOP-REAL c₁) is non empty set
{ (((1 - b₁) * r) + (b₁ * t)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ `1 is V14() real ext-real Element of REAL
c<sub>1</sub> `2 is V14() real ext-real Element of REAL
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q `1 is V14() real ext-real Element of REAL
q `2 is V14() real ext-real Element of REAL
LSeg (c₁,q) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * c₁) + (b₁ * q)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
c₁ + q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
the U6 of (TOP-REAL 2) is V19() V22([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):]) V23( the carrier of (TOP-REAL 2)) Function-like V33([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2)) Element of bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):]
[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):] is non empty set
[:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),c₁,q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(c₁,q) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 / 2 is V14() real ext-real non negative Element of REAL
(1 / 2) * (c₁ + q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((c₁ + q),(1 / 2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r `1 is V14() real ext-real Element of REAL
r `2 is V14() real ext-real Element of REAL
1 - (1 / 2) is V14() real ext-real Element of REAL
(1 - (1 / 2)) * c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(c₁,(1 - (1 / 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 / 2) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(q,(1 / 2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (1 / 2)) * c₁) + ((1 / 2) * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (1 / 2)) * c₁),((1 / 2) * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (1 / 2)) * c₁),((1 / 2) * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (1 / 2)) * c₁) `1 is V14() real ext-real Element of REAL
((1 / 2) * q) `1 is V14() real ext-real Element of REAL
(((1 - (1 / 2)) * c₁) `1) + (((1 / 2) * q) `1) is V14() real ext-real Element of REAL
(1 - (1 / 2)) * (c₁ `1) is V14() real ext-real Element of REAL
((1 - (1 / 2)) * (c<sub>1</sub> `1)) + (((1 / 2) * q) `1) is V14() real ext-real Element of REAL
(1 - (1 / 2)) * (r `1) is V14() real ext-real Element of REAL
(1 / 2) * (q `1) is V14() real ext-real Element of REAL
((1 - (1 / 2)) * (r `1)) + ((1 / 2) * (q `1)) is V14() real ext-real Element of REAL
(1 / 2) * (r `1) is V14() real ext-real Element of REAL
((1 - (1 / 2)) * (c₁ `1)) + ((1 / 2) * (r `1)) is V14() real ext-real Element of REAL
((1 - (1 / 2)) * c₁) `2 is V14() real ext-real Element of REAL
((1 / 2) * q) `2 is V14() real ext-real Element of REAL
(((1 - (1 / 2)) * c₁) `2) + (((1 / 2) * q) `2) is V14() real ext-real Element of REAL
(1 - (1 / 2)) * (c₁ `2) is V14() real ext-real Element of REAL
((1 - (1 / 2)) * (c<sub>1</sub> `2)) + (((1 / 2) * q) `2) is V14() real ext-real Element of REAL
(1 - (1 / 2)) * (r `2) is V14() real ext-real Element of REAL
(1 / 2) * (q `2) is V14() real ext-real Element of REAL
((1 - (1 / 2)) * (r `2)) + ((1 / 2) * (q `2)) is V14() real ext-real Element of REAL
(1 / 2) * (r `2) is V14() real ext-real Element of REAL
((1 - (1 / 2)) * (c₁ `2)) + ((1 / 2) * (r `2)) is V14() real ext-real Element of REAL
c₁ is functional Element of bool the carrier of (TOP-REAL 2)
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q `2 is V14() real ext-real Element of REAL
r `2 is V14() real ext-real Element of REAL
q `1 is V14() real ext-real Element of REAL
r `1 is V14() real ext-real Element of REAL
c₁ is functional Element of bool the carrier of (TOP-REAL 2)
c₁ is functional Element of bool the carrier of (TOP-REAL 2)
c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ `2 is V14() real ext-real Element of REAL
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q `2 is V14() real ext-real Element of REAL
LSeg (c₁,q) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * c₁) + (b₁ * q)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t `2 is V14() real ext-real Element of REAL
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
p0 `2 is V14() real ext-real Element of REAL
c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ `1 is V14() real ext-real Element of REAL
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q `1 is V14() real ext-real Element of REAL
LSeg (c₁,q) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * c₁) + (b₁ * q)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t `1 is V14() real ext-real Element of REAL
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
p0 `1 is V14() real ext-real Element of REAL
c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ `1 is V14() real ext-real Element of REAL
c<sub>1</sub> `2 is V14() real ext-real Element of REAL
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (q,r) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * q) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t `1 is V14() real ext-real Element of REAL
t `2 is V14() real ext-real Element of REAL
p0 is V14() real ext-real Element of REAL
1 - p0 is V14() real ext-real Element of REAL
(1 - p0) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(q,(1 - p0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
p0 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,p0) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - p0) * q) + (p0 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
the U6 of (TOP-REAL 2) is V19() V22([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):]) V23( the carrier of (TOP-REAL 2)) Function-like V33([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2)) Element of bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):]
[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):] is non empty set
[:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - p0) * q),(p0 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - p0) * q),(p0 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q1 is V14() real ext-real Element of REAL
1 - q1 is V14() real ext-real Element of REAL
(1 - q1) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(q,(1 - q1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,q1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q1) * q) + (q1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - q1) * q),(q1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - q1) * q),(q1 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q `2 is V14() real ext-real Element of REAL
p0 * (q `2) is V14() real ext-real Element of REAL
r `2 is V14() real ext-real Element of REAL
p0 * (r `2) is V14() real ext-real Element of REAL
(p0 * (q `2)) - (p0 * (r `2)) is V14() real ext-real Element of REAL
(q `2) - ((p0 * (q `2)) - (p0 * (r `2))) is V14() real ext-real Element of REAL
(1 - p0) * (q `2) is V14() real ext-real Element of REAL
((1 - p0) * (q `2)) + (p0 * (r `2)) is V14() real ext-real Element of REAL
(p0 * r) `2 is V14() real ext-real Element of REAL
((1 - p0) * (q `2)) + ((p0 * r) `2) is V14() real ext-real Element of REAL
((1 - p0) * q) `2 is V14() real ext-real Element of REAL
(((1 - p0) * q) `2) + ((p0 * r) `2) is V14() real ext-real Element of REAL
((1 - q1) * q) `2 is V14() real ext-real Element of REAL
(q1 * r) `2 is V14() real ext-real Element of REAL
(((1 - q1) * q) `2) + ((q1 * r) `2) is V14() real ext-real Element of REAL
(1 - q1) * (q `2) is V14() real ext-real Element of REAL
((1 - q1) * (q `2)) + ((q1 * r) `2) is V14() real ext-real Element of REAL
1 * (q `2) is V14() real ext-real Element of REAL
q1 * (q `2) is V14() real ext-real Element of REAL
(1 * (q `2)) - (q1 * (q `2)) is V14() real ext-real Element of REAL
q1 * (r `2) is V14() real ext-real Element of REAL
((1 * (q `2)) - (q1 * (q `2))) + (q1 * (r `2)) is V14() real ext-real Element of REAL
(q1 * (q `2)) - (q1 * (r `2)) is V14() real ext-real Element of REAL
(q `2) - ((q1 * (q `2)) - (q1 * (r `2))) is V14() real ext-real Element of REAL
p0 - q1 is V14() real ext-real Element of REAL
(p0 - q1) * (q `2) is V14() real ext-real Element of REAL
(p0 - q1) * (r `2) is V14() real ext-real Element of REAL
c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ `2 is V14() real ext-real Element of REAL
c<sub>1</sub> `1 is V14() real ext-real Element of REAL
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (q,r) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * q) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t `2 is V14() real ext-real Element of REAL
t `1 is V14() real ext-real Element of REAL
p0 is V14() real ext-real Element of REAL
1 - p0 is V14() real ext-real Element of REAL
(1 - p0) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(q,(1 - p0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
p0 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,p0) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - p0) * q) + (p0 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
the U6 of (TOP-REAL 2) is V19() V22([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):]) V23( the carrier of (TOP-REAL 2)) Function-like V33([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2)) Element of bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):]
[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):] is non empty set
[:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - p0) * q),(p0 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - p0) * q),(p0 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q1 is V14() real ext-real Element of REAL
1 - q1 is V14() real ext-real Element of REAL
(1 - q1) * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(q,(1 - q1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,q1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - q1) * q) + (q1 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - q1) * q),(q1 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - q1) * q),(q1 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
q `1 is V14() real ext-real Element of REAL
p0 * (q `1) is V14() real ext-real Element of REAL
r `1 is V14() real ext-real Element of REAL
p0 * (r `1) is V14() real ext-real Element of REAL
(p0 * (q `1)) - (p0 * (r `1)) is V14() real ext-real Element of REAL
(q `1) - ((p0 * (q `1)) - (p0 * (r `1))) is V14() real ext-real Element of REAL
(1 - p0) * (q `1) is V14() real ext-real Element of REAL
((1 - p0) * (q `1)) + (p0 * (r `1)) is V14() real ext-real Element of REAL
(p0 * r) `1 is V14() real ext-real Element of REAL
((1 - p0) * (q `1)) + ((p0 * r) `1) is V14() real ext-real Element of REAL
((1 - p0) * q) `1 is V14() real ext-real Element of REAL
(((1 - p0) * q) `1) + ((p0 * r) `1) is V14() real ext-real Element of REAL
((1 - q1) * q) `1 is V14() real ext-real Element of REAL
(q1 * r) `1 is V14() real ext-real Element of REAL
(((1 - q1) * q) `1) + ((q1 * r) `1) is V14() real ext-real Element of REAL
(1 - q1) * (q `1) is V14() real ext-real Element of REAL
((1 - q1) * (q `1)) + ((q1 * r) `1) is V14() real ext-real Element of REAL
1 * (q `1) is V14() real ext-real Element of REAL
q1 * (q `1) is V14() real ext-real Element of REAL
(1 * (q `1)) - (q1 * (q `1)) is V14() real ext-real Element of REAL
q1 * (r `1) is V14() real ext-real Element of REAL
((1 * (q `1)) - (q1 * (q `1))) + (q1 * (r `1)) is V14() real ext-real Element of REAL
(q1 * (q `1)) - (q1 * (r `1)) is V14() real ext-real Element of REAL
(q `1) - ((q1 * (q `1)) - (q1 * (r `1))) is V14() real ext-real Element of REAL
p0 - q1 is V14() real ext-real Element of REAL
(p0 - q1) * (q `1) is V14() real ext-real Element of REAL
(p0 - q1) * (r `1) is V14() real ext-real Element of REAL
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,q) is functional Element of bool the carrier of (TOP-REAL 2)
q + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ /. q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ /. (q + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((c₁ /. q),(c₁ /. (q + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (c₁ /. q)) + (b₁ * (c₁ /. (q + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
q + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{} (TOP-REAL 2) is empty proper epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() real ext-real non positive non negative Function-like functional V46() V48() V49() V50() V51() V52() V53() V54() finite V59() FinSequence-membered closed V235( TOP-REAL 2) circled Element of bool the carrier of (TOP-REAL 2)
q + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. c₁) `2 is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 1)) `2 is V14() real ext-real Element of REAL
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(q /. c₁) `1 is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 1)) `1 is V14() real ext-real Element of REAL
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q1 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
p0 `2 is V14() real ext-real Element of REAL
q1 `2 is V14() real ext-real Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
dom q is V48() V49() V50() V51() V52() V53() finite Element of bool NAT
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ <= len c₁ ) } is set
{ H₁(c₁,b₁) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ <= len c₁ & S₁[b₁] ) } is set
t is set
p0 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,p0) is functional closed Element of bool the carrier of (TOP-REAL 2)
p0 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,p0) is functional closed Element of bool the carrier of (TOP-REAL 2)
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ ) } is set
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ <= len c₁ ) } is set
t is set
p0 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,p0) is functional closed Element of bool the carrier of (TOP-REAL 2)
p0 + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ & not b₁ = q & not b₁ = q + 1 ) } is set
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ ) } is set
p0 is set
q1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,q1) is functional closed Element of bool the carrier of (TOP-REAL 2)
q1 + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
bool (bool the carrier of (TOP-REAL 2)) is non empty set
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ <= len c₁ ) } is set
REAL 2 is non empty functional FinSequence-membered M13( REAL )
K266(2,REAL) is functional FinSequence-membered M13( REAL )
bool (REAL 2) is non empty set
r is set
t is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,t) is functional closed Element of bool the carrier of (TOP-REAL 2)
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ ) } is set
REAL 2 is non empty functional FinSequence-membered M13( REAL )
K266(2,REAL) is functional FinSequence-membered M13( REAL )
bool (REAL 2) is non empty set
r is set
t is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,t) is functional closed Element of bool the carrier of (TOP-REAL 2)
t + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ & not b₁ = q & not b₁ = q + 1 ) } is set
REAL 2 is non empty functional FinSequence-membered M13( REAL )
K266(2,REAL) is functional FinSequence-membered M13( REAL )
bool (REAL 2) is non empty set
t is set
p0 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,p0) is functional closed Element of bool the carrier of (TOP-REAL 2)
p0 + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is functional Element of bool the carrier of (TOP-REAL 2)
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (q,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len q ) } is set
union { (LSeg (q,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len q ) } is set
t is functional Element of bool the carrier of (TOP-REAL 2)
r is Element of bool (bool the carrier of (TOP-REAL 2))
p0 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (q,p0) is functional closed Element of bool the carrier of (TOP-REAL 2)
p0 + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
L~ c₁ is functional Element of bool the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ ) } is set
union { (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ ) } is set
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is functional Element of bool the carrier of (TOP-REAL 2)
r is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
r + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ & not b₁ = r & not b₁ = r + 1 ) } is set
union { (LSeg (c₁,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len c₁ & not b₁ = r & not b₁ = r + 1 ) } is set
p0 is functional Element of bool the carrier of (TOP-REAL 2)
t is Element of bool (bool the carrier of (TOP-REAL 2))
q1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (c₁,q1) is functional closed Element of bool the carrier of (TOP-REAL 2)
q1 + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. c₁) `1 is V14() real ext-real Element of REAL
q /. (c<sub>1</sub> + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. (c<sub>1</sub> + 1)) `1 is V14() real ext-real Element of REAL
(q /. (c₁ + 1)) `2 is V14() real ext-real Element of REAL
q /. (c<sub>1</sub> + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. (c<sub>1</sub> + 2)) `2 is V14() real ext-real Element of REAL
(c₁ + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + (1 + 1) is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
(q /. (c₁ + 2)) `1 is V14() real ext-real Element of REAL
c<sub>1</sub> is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c<sub>1</sub> + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c<sub>1</sub> + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. c<sub>1</sub> is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. c<sub>1</sub>) `2 is V14() real ext-real Element of REAL
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. (c₁ + 1)) `2 is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 1)) `1 is V14() real ext-real Element of REAL
q /. (c₁ + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. (c₁ + 2)) `1 is V14() real ext-real Element of REAL
(c<sub>1</sub> + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c<sub>1</sub> + (1 + 1) is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
(q /. (c<sub>1</sub> + 2)) `2 is V14() real ext-real Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r `1 is V14() real ext-real Element of REAL
r `2 is V14() real ext-real Element of REAL
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t `1 is V14() real ext-real Element of REAL
t `2 is V14() real ext-real Element of REAL
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
p0 `1 is V14() real ext-real Element of REAL
p0 `2 is V14() real ext-real Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r `1 is V14() real ext-real Element of REAL
r `2 is V14() real ext-real Element of REAL
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t `1 is V14() real ext-real Element of REAL
t `2 is V14() real ext-real Element of REAL
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
p0 `1 is V14() real ext-real Element of REAL
p0 `2 is V14() real ext-real Element of REAL
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + (1 + 1) is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
(c₁ + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ /. q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ /. (q + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r `1 is V14() real ext-real Element of REAL
r `2 is V14() real ext-real Element of REAL
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (r,t) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * r) + (b₁ * t)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t `1 is V14() real ext-real Element of REAL
t `2 is V14() real ext-real Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((q /. c₁),(q /. (c₁ + 2))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 2)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
LSeg (q,(c₁ + 1)) is functional closed Element of bool the carrier of (TOP-REAL 2)
(LSeg (q,c₁)) \/ (LSeg (q,(c₁ + 1))) is functional Element of bool the carrier of (TOP-REAL 2)
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + (1 + 1) is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
(c₁ + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg ((q /. (c₁ + 1)),(q /. (c₁ + 2))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. (c₁ + 1))) + (b₁ * (q /. (c₁ + 2)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(q /. c₁) `1 is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 2)) `1 is V14() real ext-real Element of REAL
(q /. c₁) `2 is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 2)) `2 is V14() real ext-real Element of REAL
q1 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q1 `1 is V14() real ext-real Element of REAL
q1 `2 is V14() real ext-real Element of REAL
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
LSeg (q,(c₁ + 1)) is functional closed Element of bool the carrier of (TOP-REAL 2)
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(q /. c₁) `1 is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 1)) `1 is V14() real ext-real Element of REAL
(q /. (c₁ + 1)) `2 is V14() real ext-real Element of REAL
q /. (c<sub>1</sub> + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. (c<sub>1</sub> + 2)) `2 is V14() real ext-real Element of REAL
LSeg ((q /. (c₁ + 1)),(q /. (c₁ + 2))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. (c₁ + 1))) + (b₁ * (q /. (c₁ + 2)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(c₁ + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + (1 + 1) is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
LSeg (q,(c₁ + 1)) is functional closed Element of bool the carrier of (TOP-REAL 2)
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(q /. c₁) `2 is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 1)) `2 is V14() real ext-real Element of REAL
(q /. (c₁ + 1)) `1 is V14() real ext-real Element of REAL
q /. (c<sub>1</sub> + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(q /. (c<sub>1</sub> + 2)) `1 is V14() real ext-real Element of REAL
LSeg ((q /. (c₁ + 1)),(q /. (c₁ + 2))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. (c₁ + 1))) + (b₁ * (q /. (c₁ + 2)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(c₁ + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + (1 + 1) is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
LSeg (q,(c₁ + 1)) is functional closed Element of bool the carrier of (TOP-REAL 2)
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
LSeg (q,(c₁ + 1)) is functional closed Element of bool the carrier of (TOP-REAL 2)
(LSeg (q,c₁)) \/ (LSeg (q,(c₁ + 1))) is functional Element of bool the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (r,t) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * r) + (b₁ * t)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q /. (c₁ + 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + (1 + 1) is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
(c₁ + 1) + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
F1 is V14() real ext-real Element of REAL
1 - F1 is V14() real ext-real Element of REAL
(1 - F1) * (q /. c₁) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. c₁),(1 - F1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F1 * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),F1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - F1) * (q /. c₁)) + (F1 * (q /. (c₁ + 1))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
the U6 of (TOP-REAL 2) is V19() V22([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):]) V23( the carrier of (TOP-REAL 2)) Function-like V33([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2)) Element of bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):]
[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):] is non empty set
[:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - F1) * (q /. c₁)),(F1 * (q /. (c₁ + 1)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - F1) * (q /. c₁)),(F1 * (q /. (c₁ + 1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
r `1 is V14() real ext-real Element of REAL
((1 - F1) * (q /. c<sub>1</sub>)) `1 is V14() real ext-real Element of REAL
(F1 * (q /. (c₁ + 1))) `1 is V14() real ext-real Element of REAL
(((1 - F1) * (q /. c<sub>1</sub>)) `1) + ((F1 * (q /. (c₁ + 1))) `1) is V14() real ext-real Element of REAL
(q /. c<sub>1</sub>) `1 is V14() real ext-real Element of REAL
(1 - F1) * ((q /. c₁) `1) is V14() real ext-real Element of REAL
((1 - F1) * ((q /. c<sub>1</sub>) `1)) + ((F1 * (q /. (c₁ + 1))) `1) is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 1)) `1 is V14() real ext-real Element of REAL
F1 * ((q /. (c₁ + 1)) `1) is V14() real ext-real Element of REAL
((1 - F1) * ((q /. c<sub>1</sub>) `1)) + (F1 * ((q /. (c₁ + 1)) `1)) is V14() real ext-real Element of REAL
LSeg ((q /. (c<sub>1</sub> + 1)),(q /. (c<sub>1</sub> + 2))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b<sub>1</sub>) * (q /. (c<sub>1</sub> + 1))) + (b<sub>1</sub> * (q /. (c<sub>1</sub> + 2)))) where b<sub>1</sub> is V14() real ext-real Element of REAL : ( 0 <= b<sub>1</sub> & b<sub>1</sub> <= 1 ) } is set
PP is V14() real ext-real Element of REAL
1 - PP is V14() real ext-real Element of REAL
(1 - PP) * (q /. (c<sub>1</sub> + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c<sub>1</sub> + 1)),(1 - PP)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
PP * (q /. (c<sub>1</sub> + 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c<sub>1</sub> + 2)),PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - PP) * (q /. (c<sub>1</sub> + 1))) + (PP * (q /. (c<sub>1</sub> + 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - PP) * (q /. (c<sub>1</sub> + 1))),(PP * (q /. (c<sub>1</sub> + 2)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - PP) * (q /. (c<sub>1</sub> + 1))),(PP * (q /. (c<sub>1</sub> + 2)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
t `2 is V14() real ext-real Element of REAL
((1 - PP) * (q /. (c₁ + 1))) `2 is V14() real ext-real Element of REAL
(PP * (q /. (c<sub>1</sub> + 2))) `2 is V14() real ext-real Element of REAL
(((1 - PP) * (q /. (c₁ + 1))) `2) + ((PP * (q /. (c<sub>1</sub> + 2))) `2) is V14() real ext-real Element of REAL
(q /. (c₁ + 1)) `2 is V14() real ext-real Element of REAL
(1 - PP) * ((q /. (c<sub>1</sub> + 1)) `2) is V14() real ext-real Element of REAL
((1 - PP) * ((q /. (c₁ + 1)) `2)) + ((PP * (q /. (c<sub>1</sub> + 2))) `2) is V14() real ext-real Element of REAL
(q /. (c₁ + 2)) `2 is V14() real ext-real Element of REAL
PP * ((q /. (c<sub>1</sub> + 2)) `2) is V14() real ext-real Element of REAL
((1 - PP) * ((q /. (c₁ + 1)) `2)) + (PP * ((q /. (c<sub>1</sub> + 2)) `2)) is V14() real ext-real Element of REAL
r `2 is V14() real ext-real Element of REAL
((1 - F1) * (q /. c<sub>1</sub>)) `2 is V14() real ext-real Element of REAL
(F1 * (q /. (c₁ + 1))) `2 is V14() real ext-real Element of REAL
(((1 - F1) * (q /. c<sub>1</sub>)) `2) + ((F1 * (q /. (c₁ + 1))) `2) is V14() real ext-real Element of REAL
(q /. c<sub>1</sub>) `2 is V14() real ext-real Element of REAL
(1 - F1) * ((q /. c₁) `2) is V14() real ext-real Element of REAL
((1 - F1) * ((q /. c<sub>1</sub>) `2)) + ((F1 * (q /. (c₁ + 1))) `2) is V14() real ext-real Element of REAL
F1 * ((q /. (c<sub>1</sub> + 1)) `2) is V14() real ext-real Element of REAL
((1 - F1) * ((q /. c₁) `2)) + (F1 * ((q /. (c<sub>1</sub> + 1)) `2)) is V14() real ext-real Element of REAL
t `1 is V14() real ext-real Element of REAL
((1 - PP) * (q /. (c<sub>1</sub> + 1))) `1 is V14() real ext-real Element of REAL
(PP * (q /. (c₁ + 2))) `1 is V14() real ext-real Element of REAL
(((1 - PP) * (q /. (c<sub>1</sub> + 1))) `1) + ((PP * (q /. (c₁ + 2))) `1) is V14() real ext-real Element of REAL
(1 - PP) * ((q /. (c<sub>1</sub> + 1)) `1) is V14() real ext-real Element of REAL
((1 - PP) * ((q /. (c₁ + 1)) `1)) + ((PP * (q /. (c<sub>1</sub> + 2))) `1) is V14() real ext-real Element of REAL
(q /. (c₁ + 2)) `1 is V14() real ext-real Element of REAL
PP * ((q /. (c<sub>1</sub> + 2)) `1) is V14() real ext-real Element of REAL
((1 - PP) * ((q /. (c₁ + 1)) `1)) + (PP * ((q /. (c<sub>1</sub> + 2)) `1)) is V14() real ext-real Element of REAL
u0 is V14() real ext-real Element of REAL
1 - u0 is V14() real ext-real Element of REAL
(1 - u0) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(1 - u0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
u0 * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,u0) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - u0) * r) + (u0 * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - u0) * r),(u0 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - u0) * r),(u0 * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - u0) * r) `1 is V14() real ext-real Element of REAL
(u0 * t) `1 is V14() real ext-real Element of REAL
(((1 - u0) * r) `1) + ((u0 * t) `1) is V14() real ext-real Element of REAL
(1 - u0) * (r `1) is V14() real ext-real Element of REAL
((1 - u0) * (r `1)) + ((u0 * t) `1) is V14() real ext-real Element of REAL
(1 - u0) * ((q /. (c<sub>1</sub> + 1)) `1) is V14() real ext-real Element of REAL
u0 * (t `1) is V14() real ext-real Element of REAL
((1 - u0) * ((q /. (c<sub>1</sub> + 1)) `1)) + (u0 * (t `1)) is V14() real ext-real Element of REAL
((q /. (c<sub>1</sub> + 1)) `1) - (t `1) is V14() real ext-real Element of REAL
u0 * (((q /. (c<sub>1</sub> + 1)) `1) - (t `1)) is V14() real ext-real Element of REAL
1 - 0 is non empty V14() real ext-real positive non negative V46() Element of REAL
(1 - 0) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(1 - 0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
((1 - 0) * r) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - 0) * r),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - 0) * r),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((q /. (c₁ + 1)) `1) - ((q /. (c<sub>1</sub> + 2)) `1) is V14() real ext-real Element of REAL
PP * (((q /. (c₁ + 1)) `1) - ((q /. (c<sub>1</sub> + 2)) `1)) is V14() real ext-real Element of REAL
1 - 0 is non empty V14() real ext-real positive non negative V46() Element of REAL
(1 - 0) * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),(1 - 0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
((1 - 0) * (q /. (c₁ + 1))) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - 0) * (q /. (c₁ + 1))),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - 0) * (q /. (c₁ + 1))),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
u0 is V14() real ext-real Element of REAL
1 - u0 is V14() real ext-real Element of REAL
(1 - u0) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(1 - u0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
u0 * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,u0) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - u0) * r) + (u0 * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - u0) * r),(u0 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - u0) * r),(u0 * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - u0) * r) `2 is V14() real ext-real Element of REAL
(u0 * t) `2 is V14() real ext-real Element of REAL
(((1 - u0) * r) `2) + ((u0 * t) `2) is V14() real ext-real Element of REAL
(1 - u0) * (r `2) is V14() real ext-real Element of REAL
((1 - u0) * (r `2)) + ((u0 * t) `2) is V14() real ext-real Element of REAL
(1 - u0) * ((q /. (c<sub>1</sub> + 1)) `2) is V14() real ext-real Element of REAL
u0 * (t `2) is V14() real ext-real Element of REAL
((1 - u0) * ((q /. (c<sub>1</sub> + 1)) `2)) + (u0 * (t `2)) is V14() real ext-real Element of REAL
((q /. (c<sub>1</sub> + 1)) `2) - (t `2) is V14() real ext-real Element of REAL
u0 * (((q /. (c<sub>1</sub> + 1)) `2) - (t `2)) is V14() real ext-real Element of REAL
1 - 0 is non empty V14() real ext-real positive non negative V46() Element of REAL
(1 - 0) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(1 - 0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
((1 - 0) * r) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - 0) * r),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - 0) * r),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((q /. (c₁ + 1)) `2) - ((q /. (c<sub>1</sub> + 2)) `2) is V14() real ext-real Element of REAL
PP * (((q /. (c₁ + 1)) `2) - ((q /. (c<sub>1</sub> + 2)) `2)) is V14() real ext-real Element of REAL
1 - 0 is non empty V14() real ext-real positive non negative V46() Element of REAL
(1 - 0) * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),(1 - 0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
((1 - 0) * (q /. (c₁ + 1))) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - 0) * (q /. (c₁ + 1))),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - 0) * (q /. (c₁ + 1))),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
F1 is V14() real ext-real Element of REAL
1 - F1 is V14() real ext-real Element of REAL
(1 - F1) * (q /. c₁) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. c₁),(1 - F1)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F1 * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),F1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - F1) * (q /. c₁)) + (F1 * (q /. (c₁ + 1))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
the U6 of (TOP-REAL 2) is V19() V22([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):]) V23( the carrier of (TOP-REAL 2)) Function-like V33([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2)) Element of bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):]
[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):] is non empty set
[:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - F1) * (q /. c₁)),(F1 * (q /. (c₁ + 1)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - F1) * (q /. c₁)),(F1 * (q /. (c₁ + 1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
t `1 is V14() real ext-real Element of REAL
((1 - F1) * (q /. c<sub>1</sub>)) `1 is V14() real ext-real Element of REAL
(F1 * (q /. (c₁ + 1))) `1 is V14() real ext-real Element of REAL
(((1 - F1) * (q /. c<sub>1</sub>)) `1) + ((F1 * (q /. (c₁ + 1))) `1) is V14() real ext-real Element of REAL
(q /. c<sub>1</sub>) `1 is V14() real ext-real Element of REAL
(1 - F1) * ((q /. c₁) `1) is V14() real ext-real Element of REAL
((1 - F1) * ((q /. c<sub>1</sub>) `1)) + ((F1 * (q /. (c₁ + 1))) `1) is V14() real ext-real Element of REAL
(q /. (c<sub>1</sub> + 1)) `1 is V14() real ext-real Element of REAL
F1 * ((q /. (c₁ + 1)) `1) is V14() real ext-real Element of REAL
((1 - F1) * ((q /. c<sub>1</sub>) `1)) + (F1 * ((q /. (c₁ + 1)) `1)) is V14() real ext-real Element of REAL
LSeg ((q /. (c<sub>1</sub> + 1)),(q /. (c<sub>1</sub> + 2))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b<sub>1</sub>) * (q /. (c<sub>1</sub> + 1))) + (b<sub>1</sub> * (q /. (c<sub>1</sub> + 2)))) where b<sub>1</sub> is V14() real ext-real Element of REAL : ( 0 <= b<sub>1</sub> & b<sub>1</sub> <= 1 ) } is set
PP is V14() real ext-real Element of REAL
1 - PP is V14() real ext-real Element of REAL
(1 - PP) * (q /. (c<sub>1</sub> + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c<sub>1</sub> + 1)),(1 - PP)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
PP * (q /. (c<sub>1</sub> + 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c<sub>1</sub> + 2)),PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - PP) * (q /. (c<sub>1</sub> + 1))) + (PP * (q /. (c<sub>1</sub> + 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - PP) * (q /. (c<sub>1</sub> + 1))),(PP * (q /. (c<sub>1</sub> + 2)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - PP) * (q /. (c<sub>1</sub> + 1))),(PP * (q /. (c<sub>1</sub> + 2)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
r `2 is V14() real ext-real Element of REAL
((1 - PP) * (q /. (c₁ + 1))) `2 is V14() real ext-real Element of REAL
(PP * (q /. (c<sub>1</sub> + 2))) `2 is V14() real ext-real Element of REAL
(((1 - PP) * (q /. (c₁ + 1))) `2) + ((PP * (q /. (c<sub>1</sub> + 2))) `2) is V14() real ext-real Element of REAL
(q /. (c₁ + 1)) `2 is V14() real ext-real Element of REAL
(1 - PP) * ((q /. (c<sub>1</sub> + 1)) `2) is V14() real ext-real Element of REAL
((1 - PP) * ((q /. (c₁ + 1)) `2)) + ((PP * (q /. (c<sub>1</sub> + 2))) `2) is V14() real ext-real Element of REAL
(q /. (c₁ + 2)) `2 is V14() real ext-real Element of REAL
PP * ((q /. (c<sub>1</sub> + 2)) `2) is V14() real ext-real Element of REAL
((1 - PP) * ((q /. (c₁ + 1)) `2)) + (PP * ((q /. (c<sub>1</sub> + 2)) `2)) is V14() real ext-real Element of REAL
t `2 is V14() real ext-real Element of REAL
((1 - F1) * (q /. c<sub>1</sub>)) `2 is V14() real ext-real Element of REAL
(F1 * (q /. (c₁ + 1))) `2 is V14() real ext-real Element of REAL
(((1 - F1) * (q /. c<sub>1</sub>)) `2) + ((F1 * (q /. (c₁ + 1))) `2) is V14() real ext-real Element of REAL
(q /. c<sub>1</sub>) `2 is V14() real ext-real Element of REAL
(1 - F1) * ((q /. c₁) `2) is V14() real ext-real Element of REAL
((1 - F1) * ((q /. c<sub>1</sub>) `2)) + ((F1 * (q /. (c₁ + 1))) `2) is V14() real ext-real Element of REAL
F1 * ((q /. (c<sub>1</sub> + 1)) `2) is V14() real ext-real Element of REAL
((1 - F1) * ((q /. c₁) `2)) + (F1 * ((q /. (c<sub>1</sub> + 1)) `2)) is V14() real ext-real Element of REAL
r `1 is V14() real ext-real Element of REAL
((1 - PP) * (q /. (c<sub>1</sub> + 1))) `1 is V14() real ext-real Element of REAL
(PP * (q /. (c₁ + 2))) `1 is V14() real ext-real Element of REAL
(((1 - PP) * (q /. (c<sub>1</sub> + 1))) `1) + ((PP * (q /. (c₁ + 2))) `1) is V14() real ext-real Element of REAL
(1 - PP) * ((q /. (c<sub>1</sub> + 1)) `1) is V14() real ext-real Element of REAL
((1 - PP) * ((q /. (c₁ + 1)) `1)) + ((PP * (q /. (c<sub>1</sub> + 2))) `1) is V14() real ext-real Element of REAL
(q /. (c₁ + 2)) `1 is V14() real ext-real Element of REAL
PP * ((q /. (c<sub>1</sub> + 2)) `1) is V14() real ext-real Element of REAL
((1 - PP) * ((q /. (c₁ + 1)) `1)) + (PP * ((q /. (c<sub>1</sub> + 2)) `1)) is V14() real ext-real Element of REAL
LSeg (t,r) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * t) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
u0 is V14() real ext-real Element of REAL
1 - u0 is V14() real ext-real Element of REAL
(1 - u0) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(1 - u0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
u0 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,u0) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - u0) * t) + (u0 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - u0) * t),(u0 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - u0) * t),(u0 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - u0) * t) `1 is V14() real ext-real Element of REAL
(u0 * r) `1 is V14() real ext-real Element of REAL
(((1 - u0) * t) `1) + ((u0 * r) `1) is V14() real ext-real Element of REAL
(1 - u0) * (t `1) is V14() real ext-real Element of REAL
((1 - u0) * (t `1)) + ((u0 * r) `1) is V14() real ext-real Element of REAL
(1 - u0) * ((q /. (c<sub>1</sub> + 1)) `1) is V14() real ext-real Element of REAL
u0 * (r `1) is V14() real ext-real Element of REAL
((1 - u0) * ((q /. (c<sub>1</sub> + 1)) `1)) + (u0 * (r `1)) is V14() real ext-real Element of REAL
((q /. (c<sub>1</sub> + 1)) `1) - (r `1) is V14() real ext-real Element of REAL
u0 * (((q /. (c<sub>1</sub> + 1)) `1) - (r `1)) is V14() real ext-real Element of REAL
1 - 0 is non empty V14() real ext-real positive non negative V46() Element of REAL
(1 - 0) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(1 - 0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
((1 - 0) * t) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - 0) * t),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - 0) * t),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((q /. (c₁ + 1)) `1) - ((q /. (c<sub>1</sub> + 2)) `1) is V14() real ext-real Element of REAL
PP * (((q /. (c₁ + 1)) `1) - ((q /. (c<sub>1</sub> + 2)) `1)) is V14() real ext-real Element of REAL
1 - 0 is non empty V14() real ext-real positive non negative V46() Element of REAL
(1 - 0) * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),(1 - 0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
((1 - 0) * (q /. (c₁ + 1))) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - 0) * (q /. (c₁ + 1))),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - 0) * (q /. (c₁ + 1))),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
LSeg (t,r) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * t) + (b₁ * r)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
u0 is V14() real ext-real Element of REAL
1 - u0 is V14() real ext-real Element of REAL
(1 - u0) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(1 - u0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
u0 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,u0) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - u0) * t) + (u0 * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - u0) * t),(u0 * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - u0) * t),(u0 * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - u0) * t) `2 is V14() real ext-real Element of REAL
(u0 * r) `2 is V14() real ext-real Element of REAL
(((1 - u0) * t) `2) + ((u0 * r) `2) is V14() real ext-real Element of REAL
(1 - u0) * (t `2) is V14() real ext-real Element of REAL
((1 - u0) * (t `2)) + ((u0 * r) `2) is V14() real ext-real Element of REAL
(1 - u0) * ((q /. (c<sub>1</sub> + 1)) `2) is V14() real ext-real Element of REAL
u0 * (r `2) is V14() real ext-real Element of REAL
((1 - u0) * ((q /. (c<sub>1</sub> + 1)) `2)) + (u0 * (r `2)) is V14() real ext-real Element of REAL
((q /. (c<sub>1</sub> + 1)) `2) - (r `2) is V14() real ext-real Element of REAL
u0 * (((q /. (c<sub>1</sub> + 1)) `2) - (r `2)) is V14() real ext-real Element of REAL
1 - 0 is non empty V14() real ext-real positive non negative V46() Element of REAL
(1 - 0) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(1 - 0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
((1 - 0) * t) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - 0) * t),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - 0) * t),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((q /. (c₁ + 1)) `2) - ((q /. (c<sub>1</sub> + 2)) `2) is V14() real ext-real Element of REAL
PP * (((q /. (c₁ + 1)) `2) - ((q /. (c<sub>1</sub> + 2)) `2)) is V14() real ext-real Element of REAL
1 - 0 is non empty V14() real ext-real positive non negative V46() Element of REAL
(1 - 0) * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),(1 - 0)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
((1 - 0) * (q /. (c₁ + 1))) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - 0) * (q /. (c₁ + 1))),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - 0) * (q /. (c₁ + 1))),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 * (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((q /. (c₁ + 1)),1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
LSeg ((q /. (c₁ + 1)),(q /. (c₁ + 2))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. (c₁ + 1))) + (b₁ * (q /. (c₁ + 2)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
LSeg (q,(c₁ + 1)) is functional closed Element of bool the carrier of (TOP-REAL 2)
(LSeg (q,c₁)) \/ (LSeg (q,(c₁ + 1))) is functional Element of bool the carrier of (TOP-REAL 2)
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
p0 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (t,p0) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * t) + (b₁ * p0)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
Euclid 2 is non empty strict Reflexive discerning V226() triangle MetrStruct
REAL 2 is non empty functional FinSequence-membered M13( REAL )
K266(2,REAL) is functional FinSequence-membered M13( REAL )
Pitag_dist 2 is V19() V22([:(REAL 2),(REAL 2):]) V23( REAL ) Function-like V33([:(REAL 2),(REAL 2):], REAL ) V36() V37() V38() Element of bool [:[:(REAL 2),(REAL 2):],REAL:]
[:(REAL 2),(REAL 2):] is non empty set
[:[:(REAL 2),(REAL 2):],REAL:] is non empty V36() V37() V38() set
bool [:[:(REAL 2),(REAL 2):],REAL:] is non empty set
MetrStruct(# (REAL 2),(Pitag_dist 2) #) is strict MetrStruct
the carrier of (Euclid 2) is non empty set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len q is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (q,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
LSeg (q,(c₁ + 1)) is functional closed Element of bool the carrier of (TOP-REAL 2)
(LSeg (q,c₁)) \/ (LSeg (q,(c₁ + 1))) is functional Element of bool the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (r,t) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * r) + (b₁ * t)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
p0 is Element of the carrier of (Euclid 2)
q /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((q /. c₁),(q /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (q /. c₁)) + (b₁ * (q /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
q2 is V14() real ext-real Element of REAL
Ball (p0,q2) is Element of bool the carrier of (Euclid 2)
bool the carrier of (Euclid 2) is non empty set
{r} is non empty functional finite V59() Element of bool the carrier of (TOP-REAL 2)
F1 is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
PP is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
F1 - PP is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
|.(F1 - PP).| is V14() real ext-real non negative Element of REAL
K396((F1 - PP)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((F1 - PP),(F1 - PP)) is V19() Function-like set
K402(K396((F1 - PP))) is V14() real ext-real Element of REAL
K73(K402(K396((F1 - PP)))) is V14() real ext-real Element of REAL
q2 / 2 is V14() real ext-real Element of REAL
F2 is V14() real ext-real Element of REAL
1 - F2 is V14() real ext-real Element of REAL
(1 - F2) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(1 - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F2 * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,F2) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - F2) * r) + (F2 * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
the U6 of (TOP-REAL 2) is V19() V22([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):]) V23( the carrier of (TOP-REAL 2)) Function-like V33([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2)) Element of bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):]
[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):] is non empty set
[:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - F2) * r),(F2 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - F2) * r),(F2 * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
u0 is V14() real ext-real Element of REAL
u0 / |.(F1 - PP).| is V14() real ext-real Element of REAL
F2 + (u0 / |.(F1 - PP).|) is V14() real ext-real Element of REAL
min ((F2 + (u0 / |.(F1 - PP).|)),1) is V14() real ext-real Element of REAL
- u0 is V14() real ext-real Element of REAL
(- u0) / |.(F1 - PP).| is V14() real ext-real Element of REAL
F2 + ((- u0) / |.(F1 - PP).|) is V14() real ext-real Element of REAL
max ((F2 + ((- u0) / |.(F1 - PP).|)),0) is V14() real ext-real Element of REAL
1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) is V14() real ext-real Element of REAL
(1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)) is V14() real ext-real Element of REAL
(1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(min ((F2 + (u0 / |.(F1 - PP).|)),1))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V14() real ext-real non positive non negative Function-like functional V46() V48() V49() V50() V51() V52() V53() V54() finite V59() FinSequence-membered Element of REAL
- (u0 / |.(F1 - PP).|) is V14() real ext-real Element of REAL
F2 + 0 is V14() real ext-real Element of REAL
LSeg ((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + (b₁ * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) is V14() real ext-real Element of REAL
(min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2 is V14() real ext-real Element of REAL
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) is V14() real ext-real Element of REAL
(1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1)) is V14() real ext-real Element of REAL
(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) is V14() real ext-real Element of REAL
((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
(min ((F2 + (u0 / |.(F1 - PP).|)),1)) - ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) is V14() real ext-real Element of REAL
(min ((F2 + (u0 / |.(F1 - PP).|)),1)) - ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) is V14() real ext-real Element of REAL
(1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),(1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r),(1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t),(1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + (((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) is V14() real ext-real Element of REAL
((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)),((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) + ((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)),((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) + (((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r)) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) is V14() real ext-real Element of REAL
(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) + (((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r) + (((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t) + (((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t),(((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r) + ((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t) + (((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r),((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t) + (((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + ((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) * r),((((1 - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) * (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t) + (((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) / ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F2 - F2 is V14() real ext-real Element of REAL
(F2 + ((- u0) / |.(F1 - PP).|)) - F2 is V14() real ext-real Element of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
1 * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(0. (TOP-REAL 2)) + (1 * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(0. (TOP-REAL 2)),(1 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((0. (TOP-REAL 2)),(1 * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(((1 - F2) * r) + (F2 * t)) - (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) is V14() real ext-real non positive V46() set
K47(1) * (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() Function-like set
K321((TOP-REAL 2),(((1 - F2) * r) + (F2 * t)),(- (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - F2) * r) + (F2 * t)),(- (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - F2) * r) + (F2 * t)),(- (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((((1 - F2) * r) + (F2 * t)),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() Function-like V36() set
K172((((1 - F2) * r) + (F2 * t)),K201((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() Function-like set
- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) is V19() Function-like set
(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) - ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) is V19() Function-like set
K321((TOP-REAL 2),(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() Function-like V36() set
K172((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),K201(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() Function-like set
(((1 - F2) * r) + (F2 * t)) + ((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) - ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - F2) * r) + (F2 * t)),((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) - ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - F2) * r) + (F2 * t)),((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) - ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - F2) * r) + (F2 * t)) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - F2) * r) + (F2 * t)),(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - F2) * r) + (F2 * t)),(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - F2) * r) + (F2 * t)) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) + (- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((1 - F2) * r) + (F2 * t)) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((1 - F2) * r) + (F2 * t)) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))),(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(F2 * t),(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((F2 * t),(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - F2) * r) + ((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - F2) * r),((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - F2) * r),((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + (((1 - F2) * r) + ((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),(((1 - F2) * r) + ((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),(((1 - F2) * r) + ((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),((1 - F2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),((1 - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - F2) * r)) + ((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - F2) * r)),((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((- ((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((1 - F2) * r)),((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) is V14() real ext-real Element of REAL
(- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r) + ((1 - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r),((1 - F2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r),((1 - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r) + ((1 - F2) * r)) + ((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r) + ((1 - F2) * r)),((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r) + ((1 - F2) * r)),((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2) is V14() real ext-real Element of REAL
((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2)) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2)) * r) + ((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2)) * r),((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2)) * r),((F2 * t) + (- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (min ((F2 + (u0 / |.(F1 - PP).|)),1)) is V14() real ext-real Element of REAL
(- (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(F2 * t) + ((- (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(F2 * t),((- (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((F2 * t),((- (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2)) * r) + ((F2 * t) + ((- (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2)) * r),((F2 * t) + ((- (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((- (1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) + (1 - F2)) * r),((F2 * t) + ((- (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- 1 is V14() real ext-real non positive V46() Element of REAL
F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)) is V14() real ext-real Element of REAL
(- 1) * (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) is V14() real ext-real Element of REAL
((- 1) * (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((- 1) * (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1))) is V14() real ext-real Element of REAL
(F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((- 1) * (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r) + ((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((- 1) * (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r),((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((- 1) * (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r),((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) is V14() real ext-real Element of REAL
(- (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(- (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r) + ((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((- (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r),((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((- (F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * r),((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390(((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) is V19() Function-like set
(- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) + ((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)),((F2 + (- (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t) - ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K321((TOP-REAL 2),((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t),(- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t),(- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t),(- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392(((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t),((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() Function-like V36() set
K172(((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * t),K201(((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() Function-like set
- (- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390((- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (- ((F2 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r)) is V19() Function-like set
1 * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,1) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(1 * r) + (0. (TOP-REAL 2)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(1 * r),(0. (TOP-REAL 2))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((1 * r),(0. (TOP-REAL 2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
0. (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like V86( TOP-REAL 2) Element of the carrier of (TOP-REAL 2)
the ZeroF of (TOP-REAL 2) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(((1 - F2) * r) + (F2 * t)) - (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) is V14() real ext-real non positive V46() set
K47(1) * (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() Function-like set
K321((TOP-REAL 2),(((1 - F2) * r) + (F2 * t)),(- (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - F2) * r) + (F2 * t)),(- (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - F2) * r) + (F2 * t)),(- (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((((1 - F2) * r) + (F2 * t)),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() Function-like V36() set
K172((((1 - F2) * r) + (F2 * t)),K201((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() Function-like set
- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) is V19() Function-like set
(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) - ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) is V19() Function-like set
K321((TOP-REAL 2),(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() Function-like V36() set
K172((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),K201(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() Function-like set
(((1 - F2) * r) + (F2 * t)) + ((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) - ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - F2) * r) + (F2 * t)),((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) - ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - F2) * r) + (F2 * t)),((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) - ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - F2) * r) + (F2 * t)) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - F2) * r) + (F2 * t)),(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - F2) * r) + (F2 * t)),(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - F2) * r) + (F2 * t)) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) + (- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((1 - F2) * r) + (F2 * t)) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))),(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((1 - F2) * r) + (F2 * t)) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))),(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(F2 * t),(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((F2 * t),(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - F2) * r) + ((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - F2) * r),((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - F2) * r),((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + (((1 - F2) * r) + ((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),(((1 - F2) * r) + ((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),(((1 - F2) * r) + ((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((1 - F2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((1 - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - F2) * r)) + ((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - F2) * r)),((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((- ((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((1 - F2) * r)),((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
(- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),((1 - F2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),((1 - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - F2) * r)) + ((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - F2) * r)),((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((1 - F2) * r)),((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2) is V14() real ext-real Element of REAL
((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2)) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2)) * r) + ((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2)) * r),((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2)) * r),((F2 * t) + (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) is V14() real ext-real Element of REAL
(- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(F2 * t) + ((- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(F2 * t),((- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((F2 * t),((- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2)) * r) + ((F2 * t) + ((- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2)) * r),((F2 * t) + ((- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((- (1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) + (1 - F2)) * r),((F2 * t) + ((- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- 1 is V14() real ext-real non positive V46() Element of REAL
F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) is V14() real ext-real Element of REAL
(- 1) * (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
((- 1) * (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((- 1) * (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
F2 + (- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
(F2 + (- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(F2 + (- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((- 1) * (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((F2 + (- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((- 1) * (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),((F2 + (- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((- 1) * (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),((F2 + (- (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) is V14() real ext-real Element of REAL
(- (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(- (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r) + ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((- (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((- (F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) * r),((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390(((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) is V19() Function-like set
(- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) + ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)),((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t) + (- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t),(- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t),(- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t) - ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K321((TOP-REAL 2),((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t),(- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K392(((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t),((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) is V19() Function-like V36() set
K172(((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * t),K201(((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r))) is V19() Function-like set
- (- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390((- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (- ((F2 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r)) is V19() Function-like set
(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390((q /. (c₁ + 1))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) is V14() real ext-real non positive V46() set
K47(1) * (q /. (c₁ + 1)) is V19() Function-like set
K321((TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),(- (q /. (c₁ + 1)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),(- (q /. (c₁ + 1)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),(- (q /. (c₁ + 1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),(q /. (c₁ + 1))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((q /. (c₁ + 1))) is V19() Function-like V36() set
K172((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),K201((q /. (c₁ + 1)))) is V19() Function-like set
- ((1 - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390(((1 - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * ((1 - F2) * r) is V19() Function-like set
(- ((1 - F2) * r)) - (F2 * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- (F2 * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390((F2 * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (F2 * t) is V19() Function-like set
K321((TOP-REAL 2),(- ((1 - F2) * r)),(- (F2 * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(- ((1 - F2) * r)),(- (F2 * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((- ((1 - F2) * r)),(- (F2 * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((- ((1 - F2) * r)),(F2 * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((F2 * t)) is V19() Function-like V36() set
K172((- ((1 - F2) * r)),K201((F2 * t))) is V19() Function-like set
(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) + ((- ((1 - F2) * r)) - (F2 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),((- ((1 - F2) * r)) - (F2 * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),((- ((1 - F2) * r)) - (F2 * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) + (- ((1 - F2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),(- ((1 - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),(- ((1 - F2) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) + (- ((1 - F2) * r))) + (- (F2 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) + (- ((1 - F2) * r))),(- (F2 * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) + (- ((1 - F2) * r))),(- (F2 * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r),(- ((1 - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r),(- ((1 - F2) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) + (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) + (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r)))) + (- (F2 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) + (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r)))),(- (F2 * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) + (((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r)))),(- (F2 * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r))) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r))),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r))),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- F2 is V14() real ext-real Element of REAL
(- F2) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,(- F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r))) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) + ((- F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r))) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),((- F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + (- ((1 - F2) * r))) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),((- F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- (1 - F2) is V14() real ext-real Element of REAL
(- (1 - F2)) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(- (1 - F2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r),((- (1 - F2)) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r),((- (1 - F2)) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) + ((- F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),((- F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)),((- F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) + ((- F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t),((- F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t),((- F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)) + (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) + ((- F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) + ((- F2) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t) + ((- F2) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) + (- F2) is V14() real ext-real Element of REAL
((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) + (- F2)) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) + (- F2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)) + (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) + (- F2)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) + (- F2)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((- (1 - F2)) * r)),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) + (- F2)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) + (- (1 - F2)) is V14() real ext-real Element of REAL
((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) + (- (1 - F2))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) + (- (1 - F2)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2 is V14() real ext-real Element of REAL
((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) + (- (1 - F2))) * r) + (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) + (- (1 - F2))) * r),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) + (- (1 - F2))) * r),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) is V14() real ext-real Element of REAL
(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) * r) + (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) * r),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) * r),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t) - (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390((((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r) is V19() Function-like set
K321((TOP-REAL 2),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t),(- (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t),(- (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t),(- (((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t),(((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r)) is V19() Function-like V36() set
K172((((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * t),K201((((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * r))) is V19() Function-like set
t - r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390(r) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * r is V19() Function-like set
K321((TOP-REAL 2),t,(- r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),t,(- r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(t,(- r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392(t,r) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(r) is V19() Function-like V36() set
K172(t,K201(r)) is V19() Function-like set
((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * (t - r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((t - r),((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) * (F1 - PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
(F2 + ((- u0) / |.(F1 - PP).|)) + (- F2) is V14() real ext-real Element of REAL
- ((- u0) / |.(F1 - PP).|) is V14() real ext-real Element of REAL
u0 + u0 is V14() real ext-real Element of REAL
- (- u0) is V14() real ext-real Element of REAL
(- (- u0)) / |.(F1 - PP).| is V14() real ext-real Element of REAL
Q is Element of the carrier of (Euclid 2)
r0 is Element of the carrier of (Euclid 2)
dist (Q,r0) is V14() real ext-real Element of REAL
r0 is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
p is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
r0 - p is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
|.(r0 - p).| is V14() real ext-real non negative Element of REAL
K396((r0 - p)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((r0 - p),(r0 - p)) is V19() Function-like set
K402(K396((r0 - p))) is V14() real ext-real Element of REAL
K73(K402(K396((r0 - p)))) is V14() real ext-real Element of REAL
|.((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1))).| is V14() real ext-real non negative Element of REAL
K396(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1))),((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1)))) is V19() Function-like set
K402(K396(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1))))) is V14() real ext-real Element of REAL
K73(K402(K396(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1)))))) is V14() real ext-real Element of REAL
abs ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2) is V14() real ext-real Element of REAL
(abs ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) * |.(F1 - PP).| is V14() real ext-real Element of REAL
abs (- ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) - F2)) is V14() real ext-real Element of REAL
0 - F2 is V14() real ext-real Element of REAL
- (0 - F2) is V14() real ext-real Element of REAL
(u0 / |.(F1 - PP).|) * |.(F1 - PP).| is V14() real ext-real Element of REAL
(F2 + ((- u0) / |.(F1 - PP).|)) - F2 is V14() real ext-real Element of REAL
((F2 + ((- u0) / |.(F1 - PP).|)) - F2) * (F1 - PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
((F2 + ((- u0) / |.(F1 - PP).|)) - F2) * (t - r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((t - r),((F2 + ((- u0) / |.(F1 - PP).|)) - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- u0) / |.(F1 - PP).|) * (t - r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((t - r),((- u0) / |.(F1 - PP).|)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- u0) / |.(F1 - PP).|) * (F1 - PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
u0 + u0 is V14() real ext-real Element of REAL
Q is Element of the carrier of (Euclid 2)
r0 is Element of the carrier of (Euclid 2)
dist (Q,r0) is V14() real ext-real Element of REAL
r0 is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
p is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
r0 - p is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
|.(r0 - p).| is V14() real ext-real non negative Element of REAL
K396((r0 - p)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((r0 - p),(r0 - p)) is V19() Function-like set
K402(K396((r0 - p))) is V14() real ext-real Element of REAL
K73(K402(K396((r0 - p)))) is V14() real ext-real Element of REAL
|.((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1))).| is V14() real ext-real non negative Element of REAL
K396(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1))),((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1)))) is V19() Function-like set
K402(K396(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1))))) is V14() real ext-real Element of REAL
K73(K402(K396(((((1 - (max ((F2 + ((- u0) / |.(F1 - PP).|)),0))) * r) + ((max ((F2 + ((- u0) / |.(F1 - PP).|)),0)) * t)) - (q /. (c₁ + 1)))))) is V14() real ext-real Element of REAL
abs ((- u0) / |.(F1 - PP).|) is V14() real ext-real Element of REAL
(abs ((- u0) / |.(F1 - PP).|)) * |.(F1 - PP).| is V14() real ext-real Element of REAL
abs (- u0) is V14() real ext-real Element of REAL
abs |.(F1 - PP).| is V14() real ext-real Element of REAL
(abs (- u0)) / (abs |.(F1 - PP).|) is V14() real ext-real Element of REAL
((abs (- u0)) / (abs |.(F1 - PP).|)) * |.(F1 - PP).| is V14() real ext-real Element of REAL
(abs (- u0)) / |.(F1 - PP).| is V14() real ext-real Element of REAL
((abs (- u0)) / |.(F1 - PP).|) * |.(F1 - PP).| is V14() real ext-real Element of REAL
abs u0 is V14() real ext-real Element of REAL
Q is Element of the carrier of (Euclid 2)
r0 is Element of the carrier of (Euclid 2)
dist (Q,r0) is V14() real ext-real Element of REAL
Q is Element of the carrier of (Euclid 2)
r0 is Element of the carrier of (Euclid 2)
dist (Q,r0) is V14() real ext-real Element of REAL
{ b₁ where b₁ is Element of the carrier of (Euclid 2) : not q2 <= dist (r0,b₁) } is set
Ball (r0,q2) is Element of bool the carrier of (Euclid 2)
(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K321((TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),(- (q /. (c₁ + 1)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),(- (q /. (c₁ + 1)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),(- (q /. (c₁ + 1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),(q /. (c₁ + 1))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K172((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),K201((q /. (c₁ + 1)))) is V19() Function-like set
(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) + ((- ((1 - F2) * r)) - (F2 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),((- ((1 - F2) * r)) - (F2 * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),((- ((1 - F2) * r)) - (F2 * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) + (- ((1 - F2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),(- ((1 - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),(- ((1 - F2) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) + (- ((1 - F2) * r))) + (- (F2 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) + (- ((1 - F2) * r))),(- (F2 * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) + (- ((1 - F2) * r))),(- (F2 * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r),(- ((1 - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r),(- ((1 - F2) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) + (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r)))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) + (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r)))) + (- (F2 * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) + (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r)))),(- (F2 * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) + (((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r)))),(- (F2 * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r))) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r))),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r))),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r))) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) + ((- F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r))) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),((- F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + (- ((1 - F2) * r))) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),((- F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r),((- (1 - F2)) * r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r),((- (1 - F2)) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) + ((- F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),((- F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)),((- F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) + ((- F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t),((- F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t),((- F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)) + (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) + ((- F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) + ((- F2) * t))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t) + ((- F2) * t))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(min ((F2 + (u0 / |.(F1 - PP).|)),1)) + (- F2) is V14() real ext-real Element of REAL
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) + (- F2)) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,((min ((F2 + (u0 / |.(F1 - PP).|)),1)) + (- F2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)) + (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) + (- F2)) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) + (- F2)) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((- (1 - F2)) * r)),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) + (- F2)) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) + (- (1 - F2)) is V14() real ext-real Element of REAL
((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) + (- (1 - F2))) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) + (- (1 - F2)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2 is V14() real ext-real Element of REAL
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(t,((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) + (- (1 - F2))) * r) + (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) + (- (1 - F2))) * r),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) + (- (1 - F2))) * r),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) is V14() real ext-real Element of REAL
(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2)) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,(- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2)) * r) + (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2)) * r),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((- ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2)) * r),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(r,((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t) - (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
- (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K390((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) * (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r) is V19() Function-like set
K321((TOP-REAL 2),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t),(- (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t),(- (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r))) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t),(- (((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r)) is V19() Function-like V36() set
K172((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * t),K201((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * r))) is V19() Function-like set
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * (t - r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((t - r),((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * (F1 - PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
(F2 + (u0 / |.(F1 - PP).|)) + (- F2) is V14() real ext-real Element of REAL
abs ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) is V14() real ext-real Element of REAL
(abs ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2)) * |.(F1 - PP).| is V14() real ext-real Element of REAL
(u0 / |.(F1 - PP).|) * |.(F1 - PP).| is V14() real ext-real Element of REAL
u0 + u0 is V14() real ext-real Element of REAL
QQ is Element of the carrier of (Euclid 2)
dist (QQ,r0) is V14() real ext-real Element of REAL
r0 is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
p is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
r0 - p is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
|.(r0 - p).| is V14() real ext-real non negative Element of REAL
K396((r0 - p)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((r0 - p),(r0 - p)) is V19() Function-like set
K402(K396((r0 - p))) is V14() real ext-real Element of REAL
K73(K402(K396((r0 - p)))) is V14() real ext-real Element of REAL
|.((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1))).| is V14() real ext-real non negative Element of REAL
K396(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1))),((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1)))) is V19() Function-like set
K402(K396(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1))))) is V14() real ext-real Element of REAL
K73(K402(K396(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1)))))) is V14() real ext-real Element of REAL
|.(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * (F1 - PP)).| is V14() real ext-real non negative Element of REAL
K396((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * (F1 - PP))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * (F1 - PP)),(((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * (F1 - PP))) is V19() Function-like set
K402(K396((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * (F1 - PP)))) is V14() real ext-real Element of REAL
K73(K402(K396((((min ((F2 + (u0 / |.(F1 - PP).|)),1)) - F2) * (F1 - PP))))) is V14() real ext-real Element of REAL
(F2 + (u0 / |.(F1 - PP).|)) - F2 is V14() real ext-real Element of REAL
((F2 + (u0 / |.(F1 - PP).|)) - F2) * (F1 - PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
((F2 + (u0 / |.(F1 - PP).|)) - F2) * (t - r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((t - r),((F2 + (u0 / |.(F1 - PP).|)) - F2)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(u0 / |.(F1 - PP).|) * (t - r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394((t - r),(u0 / |.(F1 - PP).|)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(u0 / |.(F1 - PP).|) * (F1 - PP) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
u0 + u0 is V14() real ext-real Element of REAL
QQ is Element of the carrier of (Euclid 2)
dist (QQ,r0) is V14() real ext-real Element of REAL
r0 is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
p is V19() V22( NAT ) Function-like finite V72(2) FinSequence-like FinSubsequence-like Element of REAL 2
r0 - p is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like M14( REAL , REAL 2)
|.(r0 - p).| is V14() real ext-real non negative Element of REAL
K396((r0 - p)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((r0 - p),(r0 - p)) is V19() Function-like set
K402(K396((r0 - p))) is V14() real ext-real Element of REAL
K73(K402(K396((r0 - p)))) is V14() real ext-real Element of REAL
|.((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1))).| is V14() real ext-real non negative Element of REAL
K396(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1)))) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1))),((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1)))) is V19() Function-like set
K402(K396(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1))))) is V14() real ext-real Element of REAL
K73(K402(K396(((((1 - (min ((F2 + (u0 / |.(F1 - PP).|)),1))) * r) + ((min ((F2 + (u0 / |.(F1 - PP).|)),1)) * t)) - (q /. (c₁ + 1)))))) is V14() real ext-real Element of REAL
abs (u0 / |.(F1 - PP).|) is V14() real ext-real Element of REAL
(abs (u0 / |.(F1 - PP).|)) * |.(F1 - PP).| is V14() real ext-real Element of REAL
abs u0 is V14() real ext-real Element of REAL
abs |.(F1 - PP).| is V14() real ext-real Element of REAL
(abs u0) / (abs |.(F1 - PP).|) is V14() real ext-real Element of REAL
((abs u0) / (abs |.(F1 - PP).|)) * |.(F1 - PP).| is V14() real ext-real Element of REAL
(abs u0) / |.(F1 - PP).| is V14() real ext-real Element of REAL
((abs u0) / |.(F1 - PP).|) * |.(F1 - PP).| is V14() real ext-real Element of REAL
QQ is Element of the carrier of (Euclid 2)
dist (QQ,r0) is V14() real ext-real Element of REAL
QQ is Element of the carrier of (Euclid 2)
dist (QQ,r0) is V14() real ext-real Element of REAL
r0 is set
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is functional Element of bool the carrier of (TOP-REAL 2)
r is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len r is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
r /. c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
t is V19() V22( NAT ) V23( the carrier of (TOP-REAL 2)) Function-like finite FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
r /. 1 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
r /. (len r) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
{ (LSeg (r,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len r ) } is set
union { (LSeg (r,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len r ) } is set
len t is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (t,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len t ) } is set
F2 is Element of bool (bool the carrier of (TOP-REAL 2))
union F2 is functional Element of bool the carrier of (TOP-REAL 2)
L~ r is functional closed Element of bool the carrier of (TOP-REAL 2)
{ (LSeg (r,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len r ) } is set
union { (LSeg (r,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len r ) } is set
L~ t is functional closed Element of bool the carrier of (TOP-REAL 2)
{ (LSeg (t,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len t ) } is set
union { (LSeg (t,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len t ) } is set
(L~ r) /\ (L~ t) is functional Element of bool the carrier of (TOP-REAL 2)
{(r /. 1),(r /. (len r))} is non empty functional finite V59() Element of bool the carrier of (TOP-REAL 2)
c₁ - 1 is V14() real ext-real V46() Element of REAL
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
(1 + 1) - 1 is V14() real ext-real V46() Element of REAL
j is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
j + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
{ (LSeg (r,b₁)) where b₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT : ( 1 <= b₁ & b₁ + 1 <= len r & not b₁ = j & not b₁ = j + 1 ) } is set
F is Element of bool (bool the carrier of (TOP-REAL 2))
union F is functional Element of bool the carrier of (TOP-REAL 2)
(union F) \/ (union F2) is functional Element of bool the carrier of (TOP-REAL 2)
LSeg (r,j) is functional closed Element of bool the carrier of (TOP-REAL 2)
r /. j is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((r /. j),(r /. c₁)) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (r /. j)) + (b₁ * (r /. c₁))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(L~ r) \/ (L~ t) is functional Element of bool the carrier of (TOP-REAL 2)
c₁ + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (r,c₁) is functional closed Element of bool the carrier of (TOP-REAL 2)
r /. (c₁ + 1) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg ((r /. c₁),(r /. (c₁ + 1))) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * (r /. c₁)) + (b₁ * (r /. (c₁ + 1)))) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
QQ is set
r0 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (r,r0) is functional closed Element of bool the carrier of (TOP-REAL 2)
r0 + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
j - r0 is V14() real ext-real V46() Element of REAL
1 + (j - r0) is V14() real ext-real V46() Element of REAL
1 + 0 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
c₁ - r0 is V14() real ext-real V46() Element of REAL
(LSeg (r,r0)) /\ (LSeg (r,c₁)) is functional Element of bool the carrier of (TOP-REAL 2)
r0 - c₁ is V14() real ext-real V46() Element of REAL
(r0 - c₁) + 1 is V14() real ext-real V46() Element of REAL
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V14() real ext-real positive non negative V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
r0 - j is V14() real ext-real V46() Element of REAL
(LSeg (r,j)) /\ (LSeg (r,r0)) is functional Element of bool the carrier of (TOP-REAL 2)
j - r0 is V14() real ext-real V46() Element of REAL
r0 - c₁ is V14() real ext-real V46() Element of REAL
Seg (len r) is V48() V49() V50() V51() V52() V53() finite V72( len r) Element of bool NAT
dom r is V48() V49() V50() V51() V52() V53() finite Element of bool NAT
u0 is Element of the carrier of (Euclid 2)
((union F) \/ (union F2)) ` is functional Element of bool the carrier of (TOP-REAL 2)
the carrier of (TOP-REAL 2) \ ((union F) \/ (union F2)) is set
the topology of (TOP-REAL 2) is non empty Element of bool (bool the carrier of (TOP-REAL 2))
TopStruct(# the carrier of (TOP-REAL 2), the topology of (TOP-REAL 2) #) is non empty strict TopSpace-like TopStruct
TopSpaceMetr (Euclid 2) is TopStruct
the carrier of (TopSpaceMetr (Euclid 2)) is set
bool the carrier of (TopSpaceMetr (Euclid 2)) is non empty set
QQ is Element of bool the carrier of (TopSpaceMetr (Euclid 2))
r0 is V14() real ext-real set
Ball (u0,r0) is Element of bool the carrier of (Euclid 2)
bool the carrier of (Euclid 2) is non empty set
j + 2 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
p is set
(union F) \/ (LSeg (r,j)) is functional Element of bool the carrier of (TOP-REAL 2)
((union F) \/ (LSeg (r,j))) \/ (LSeg (r,c₁)) is functional Element of bool the carrier of (TOP-REAL 2)
q is set
x is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (r,x) is functional closed Element of bool the carrier of (TOP-REAL 2)
x + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
q is set
x is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
LSeg (r,x) is functional closed Element of bool the carrier of (TOP-REAL 2)
x + 1 is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
(LSeg (r,j)) \/ (LSeg (r,c₁)) is functional Element of bool the carrier of (TOP-REAL 2)
(union F) \/ ((LSeg (r,j)) \/ (LSeg (r,c₁))) is functional Element of bool the carrier of (TOP-REAL 2)
(LSeg (r,j)) \/ (LSeg (r,c₁)) is functional Element of bool the carrier of (TOP-REAL 2)
(union F) \/ ((LSeg (r,j)) \/ (LSeg (r,c₁))) is functional Element of bool the carrier of (TOP-REAL 2)
p is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (p,q) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * p) + (b₁ * q)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(LSeg (r,j)) \/ (LSeg (r,c₁)) is functional Element of bool the carrier of (TOP-REAL 2)
(LSeg (r,j)) \/ (LSeg (r,c₁)) is functional Element of bool the carrier of (TOP-REAL 2)
x is set
p8 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (p,p8) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * p) + (b₁ * p8)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
LSeg (p8,q) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * p8) + (b₁ * q)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
(LSeg (p,p8)) \/ (LSeg (p8,q)) is non empty functional Element of bool the carrier of (TOP-REAL 2)
LSeg (p8,p) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * p8) + (b₁ * p)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
r0 is V14() real ext-real Element of REAL
Ball (u0,r0) is Element of bool the carrier of (Euclid 2)
q3 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(union F) \/ ((LSeg (r,j)) \/ (LSeg (r,c₁))) is functional Element of bool the carrier of (TOP-REAL 2)
r0 is V14() real ext-real Element of REAL
Ball (u0,r0) is Element of bool the carrier of (Euclid 2)
q3 is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
(union F) \/ ((LSeg (r,j)) \/ (LSeg (r,c₁))) is functional Element of bool the carrier of (TOP-REAL 2)
(LSeg (r,j)) \/ (LSeg (r,c₁)) is functional Element of bool the carrier of (TOP-REAL 2)
c₁ is epsilon-transitive epsilon-connected ordinal natural V14() real ext-real V46() V47() V48() V49() V50() V51() V52() V53() Element of NAT
TOP-REAL c₁ is non empty TopSpace-like T_0 T_1 T_2 V122() V147() V148() V149() V150() V151() V152() V153() V186() strict RLTopStruct
the carrier of (TOP-REAL c₁) is non empty functional set
Euclid c₁ is non empty strict Reflexive discerning V226() triangle MetrStruct
REAL c₁ is non empty functional FinSequence-membered M13( REAL )
K266(c₁,REAL) is functional FinSequence-membered M13( REAL )
Pitag_dist c₁ is V19() V22([:(REAL c₁),(REAL c₁):]) V23( REAL ) Function-like V33([:(REAL c₁),(REAL c₁):], REAL ) V36() V37() V38() Element of bool [:[:(REAL c₁),(REAL c₁):],REAL:]
[:(REAL c₁),(REAL c₁):] is non empty set
[:[:(REAL c₁),(REAL c₁):],REAL:] is non empty V36() V37() V38() set
bool [:[:(REAL c₁),(REAL c₁):],REAL:] is non empty set
MetrStruct(# (REAL c₁),(Pitag_dist c₁) #) is strict MetrStruct
the carrier of (Euclid c₁) is non empty set
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
t is Element of the carrier of (Euclid c₁)
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
p0 is Element of the carrier of (Euclid c₁)
dist (t,p0) is V14() real ext-real Element of REAL
q - r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
- r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K390(r) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K47(1) is V14() real ext-real non positive V46() set
K47(1) * r is V19() Function-like set
K321((TOP-REAL c₁),q,(- r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
the U6 of (TOP-REAL c₁) is V19() V22([: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):]) V23( the carrier of (TOP-REAL c₁)) Function-like V33([: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁)) Element of bool [:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):]
[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):] is non empty set
[:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):] is non empty set
bool [:[: the carrier of (TOP-REAL c₁), the carrier of (TOP-REAL c₁):], the carrier of (TOP-REAL c₁):] is non empty set
K475( the carrier of (TOP-REAL c₁), the U6 of (TOP-REAL c₁),q,(- r)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(c₁) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL c₁)
K388(q,(- r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K392(q,r) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K201(r) is V19() Function-like V36() set
K172(q,K201(r)) is V19() Function-like set
|.(q - r).| is V14() real ext-real non negative Element of REAL
K396((q - r)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
K189((q - r),(q - r)) is V19() Function-like set
K402(K396((q - r))) is V14() real ext-real Element of REAL
K73(K402(K396((q - r)))) is V14() real ext-real Element of REAL
c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (c₁,q) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * c₁) + (b₁ * q)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ `2 is V14() real ext-real Element of REAL
r `2 is V14() real ext-real Element of REAL
q `2 is V14() real ext-real Element of REAL
t is V14() real ext-real Element of REAL
1 - t is V14() real ext-real Element of REAL
(1 - t) * c<sub>1</sub> is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(c<sub>1</sub>,(1 - t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
t * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(q,t) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - t) * c<sub>1</sub>) + (t * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
the U6 of (TOP-REAL 2) is V19() V22([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):]) V23( the carrier of (TOP-REAL 2)) Function-like V33([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2)) Element of bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):]
[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):] is non empty set
[:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - t) * c<sub>1</sub>),(t * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - t) * c<sub>1</sub>),(t * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - t) * (c<sub>1</sub> `2) is V14() real ext-real Element of REAL
t * (c₁ `2) is V14() real ext-real Element of REAL
((1 - t) * (c<sub>1</sub> `2)) + (t * (c₁ `2)) is V14() real ext-real Element of REAL
((1 - t) * c<sub>1</sub>) `2 is V14() real ext-real Element of REAL
t * (q `2) is V14() real ext-real Element of REAL
(((1 - t) * c<sub>1</sub>) `2) + (t * (q `2)) is V14() real ext-real Element of REAL
(t * q) `2 is V14() real ext-real Element of REAL
(((1 - t) * c₁) `2) + ((t * q) `2) is V14() real ext-real Element of REAL
c₁ is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (c₁,q) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * c₁) + (b₁ * q)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
r is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
c₁ `1 is V14() real ext-real Element of REAL
r `1 is V14() real ext-real Element of REAL
q `1 is V14() real ext-real Element of REAL
t is V14() real ext-real Element of REAL
1 - t is V14() real ext-real Element of REAL
(1 - t) * c<sub>1</sub> is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(c<sub>1</sub>,(1 - t)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
t * q is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K394(q,t) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
((1 - t) * c<sub>1</sub>) + (t * q) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
the U6 of (TOP-REAL 2) is V19() V22([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):]) V23( the carrier of (TOP-REAL 2)) Function-like V33([: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2)) Element of bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):]
[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):] is non empty set
[:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
bool [:[: the carrier of (TOP-REAL 2), the carrier of (TOP-REAL 2):], the carrier of (TOP-REAL 2):] is non empty set
K475( the carrier of (TOP-REAL 2), the U6 of (TOP-REAL 2),((1 - t) * c<sub>1</sub>),(t * q)) is V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
K388(((1 - t) * c<sub>1</sub>),(t * q)) is V19() V22( NAT ) V23( REAL ) Function-like V36() V37() V38() finite FinSequence-like FinSubsequence-like FinSequence of REAL
(1 - t) * (c<sub>1</sub> `1) is V14() real ext-real Element of REAL
t * (c₁ `1) is V14() real ext-real Element of REAL
((1 - t) * (c<sub>1</sub> `1)) + (t * (c₁ `1)) is V14() real ext-real Element of REAL
((1 - t) * c<sub>1</sub>) `1 is V14() real ext-real Element of REAL
t * (q `1) is V14() real ext-real Element of REAL
(((1 - t) * c<sub>1</sub>) `1) + (t * (q `1)) is V14() real ext-real Element of REAL
(t * q) `1 is V14() real ext-real Element of REAL
(((1 - t) * c₁) `1) + ((t * q) `1) is V14() real ext-real Element of REAL
|[0,0]| is non empty V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
|[1,0]| is non empty V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (|[0,0]|,|[1,0]|) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * |[0,0]|) + (b₁ * |[1,0]|)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
|[0,0]| `2 is V14() real ext-real Element of REAL
|[1,0]| `2 is V14() real ext-real Element of REAL
|[0,0]| is non empty V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
|[0,1]| is non empty V19() V22( NAT ) Function-like V36() V37() V38() finite V72(2) FinSequence-like FinSubsequence-like Element of the carrier of (TOP-REAL 2)
LSeg (|[0,0]|,|[0,1]|) is non empty functional closed compact V269( TOP-REAL 2) V269( TOP-REAL 2) Element of bool the carrier of (TOP-REAL 2)
{ (((1 - b₁) * |[0,0]|) + (b₁ * |[0,1]|)) where b₁ is V14() real ext-real Element of REAL : ( 0 <= b₁ & b₁ <= 1 ) } is set
|[0,0]| `1 is V14() real ext-real Element of REAL
|[0,1]| `1 is V14() real ext-real Element of REAL