:: BVFUNC_1 semantic presentation

NAT is Element of bool REAL
REAL is set
bool REAL is non empty set
COMPLEX is set
RAT is set
INT is set
[:COMPLEX,COMPLEX:] is set
bool [:COMPLEX,COMPLEX:] is non empty set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is non empty set
[:REAL,REAL:] is set
bool [:REAL,REAL:] is non empty set
[:[:REAL,REAL:],REAL:] is set
bool [:[:REAL,REAL:],REAL:] is non empty set
[:RAT,RAT:] is set
bool [:RAT,RAT:] is non empty set
[:[:RAT,RAT:],RAT:] is set
bool [:[:RAT,RAT:],RAT:] is non empty set
[:INT,INT:] is set
bool [:INT,INT:] is non empty set
[:[:INT,INT:],INT:] is set
bool [:[:INT,INT:],INT:] is non empty set
[:NAT,NAT:] is set
[:[:NAT,NAT:],NAT:] is set
bool [:[:NAT,NAT:],NAT:] is non empty set
NAT is set
bool NAT is non empty set
bool NAT is non empty set
BOOLEAN is non empty set
0 is Element of NAT
the empty Function-like functional V62() set is empty Function-like functional V62() set
1 is non empty set
{0,1} is set
{} is set
TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
FALSE is ext-real V10() V43() V44() boolean set
TRUE is ext-real V10() V43() V44() boolean set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
F₁() is non empty set
[:F₁(),BOOLEAN:] is non empty set
bool [:F₁(),BOOLEAN:] is non empty set
x is non empty Relation-like F₁() -defined BOOLEAN -valued Function-like V21(F₁()) quasi_total boolean-valued Element of bool [:F₁(),BOOLEAN:]
y is non empty Relation-like F₁() -defined BOOLEAN -valued Function-like V21(F₁()) quasi_total boolean-valued Element of bool [:F₁(),BOOLEAN:]
z is Element of F₁()
x . z is ext-real V10() V43() V44() boolean set
y . z is ext-real V10() V43() V44() boolean set
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
F₂(z) is set
x . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
'not' y is Relation-like Function-like boolean-valued set
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
'not' z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y '&' z is Relation-like Function-like boolean-valued set
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C '&' D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
x is Relation-like Function-like boolean-valued set
dom x is set
y is Relation-like Function-like boolean-valued set
dom y is set
(dom x) /\ (dom y) is set
z is Relation-like Function-like set
dom z is set
C is set
rng z is set
D is set
z . D is set
x . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
(x . D) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' (x . D) is ext-real V10() V43() V44() boolean set
K134(1,(x . D)) is set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (x . D)) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (x . D)),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' (x . D)) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (x . D)) '&' ('not' (y . D)))) is set
z is Relation-like Function-like boolean-valued set
dom z is set
C is Relation-like Function-like boolean-valued set
dom C is set
D is set
z . D is ext-real V10() V43() V44() boolean set
C . D is ext-real V10() V43() V44() boolean set
x . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
(x . D) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' (x . D) is ext-real V10() V43() V44() boolean set
K134(1,(x . D)) is set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (x . D)) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (x . D)),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' (x . D)) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (x . D)) '&' ('not' (y . D)))) is set
z is Relation-like Function-like boolean-valued set
dom z is set
C is Relation-like Function-like boolean-valued set
dom C is set
D is Relation-like Function-like boolean-valued set
dom D is set
(dom C) /\ (dom D) is set
(dom D) /\ (dom C) is set
g is set
z . g is ext-real V10() V43() V44() boolean set
D . g is ext-real V10() V43() V44() boolean set
C . g is ext-real V10() V43() V44() boolean set
(D . g) 'or' (C . g) is ext-real V10() V43() V44() boolean set
'not' (D . g) is ext-real V10() V43() V44() boolean set
K134(1,(D . g)) is set
'not' (C . g) is ext-real V10() V43() V44() boolean set
K134(1,(C . g)) is set
('not' (D . g)) '&' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K131(('not' (D . g)),('not' (C . g))) is ext-real V10() V44() set
'not' (('not' (D . g)) '&' ('not' (C . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (D . g)) '&' ('not' (C . g)))) is set
z is Relation-like Function-like boolean-valued set
dom z is set
(dom z) /\ (dom z) is set
D is set
C is Relation-like Function-like boolean-valued set
dom C is set
C . D is ext-real V10() V43() V44() boolean set
(C . D) 'or' (C . D) is ext-real V10() V43() V44() boolean set
'not' (C . D) is ext-real V10() V43() V44() boolean set
K134(1,(C . D)) is set
('not' (C . D)) '&' ('not' (C . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (C . D)),('not' (C . D))) is ext-real V10() V44() set
'not' (('not' (C . D)) '&' ('not' (C . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (C . D)) '&' ('not' (C . D)))) is set
z is Relation-like Function-like set
dom z is set
C is set
z . C is set
x . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
(x . C) 'xor' (y . C) is ext-real V10() V43() V44() boolean set
(x . C) <=> (y . C) is ext-real V10() V43() V44() boolean set
(x . C) => (y . C) is ext-real V10() V43() V44() boolean set
'not' (x . C) is ext-real V10() V43() V44() boolean set
K134(1,(x . C)) is set
('not' (x . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (x . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (x . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . C))) '&' ('not' (y . C)))) is set
(y . C) => (x . C) is ext-real V10() V43() V44() boolean set
('not' (y . C)) 'or' (x . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
('not' ('not' (y . C))) '&' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (x . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (x . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (x . C)))) is set
((x . C) => (y . C)) '&' ((y . C) => (x . C)) is ext-real V10() V43() V44() boolean set
K131(((x . C) => (y . C)),((y . C) => (x . C))) is ext-real V10() V44() set
'not' ((x . C) <=> (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,((x . C) <=> (y . C))) is set
z is Relation-like Function-like set
dom z is set
C is Relation-like Function-like set
dom C is set
D is set
z . D is set
C . D is set
x . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
(x . D) 'xor' (y . D) is ext-real V10() V43() V44() boolean set
(x . D) <=> (y . D) is ext-real V10() V43() V44() boolean set
(x . D) => (y . D) is ext-real V10() V43() V44() boolean set
'not' (x . D) is ext-real V10() V43() V44() boolean set
K134(1,(x . D)) is set
('not' (x . D)) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . D))) is set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' ('not' (x . D))) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . D))),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' ('not' (x . D))) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . D))) '&' ('not' (y . D)))) is set
(y . D) => (x . D) is ext-real V10() V43() V44() boolean set
('not' (y . D)) 'or' (x . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
('not' ('not' (y . D))) '&' ('not' (x . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (x . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (x . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (x . D)))) is set
((x . D) => (y . D)) '&' ((y . D) => (x . D)) is ext-real V10() V43() V44() boolean set
K131(((x . D) => (y . D)),((y . D) => (x . D))) is ext-real V10() V44() set
'not' ((x . D) <=> (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,((x . D) <=> (y . D))) is set
z is Relation-like Function-like set
dom z is set
C is Relation-like Function-like boolean-valued set
dom C is set
D is Relation-like Function-like boolean-valued set
dom D is set
(dom C) /\ (dom D) is set
(dom D) /\ (dom C) is set
g is set
z . g is set
D . g is ext-real V10() V43() V44() boolean set
C . g is ext-real V10() V43() V44() boolean set
(D . g) 'xor' (C . g) is ext-real V10() V43() V44() boolean set
(D . g) <=> (C . g) is ext-real V10() V43() V44() boolean set
(D . g) => (C . g) is ext-real V10() V43() V44() boolean set
'not' (D . g) is ext-real V10() V43() V44() boolean set
K134(1,(D . g)) is set
('not' (D . g)) 'or' (C . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (D . g))) is set
'not' (C . g) is ext-real V10() V43() V44() boolean set
K134(1,(C . g)) is set
('not' ('not' (D . g))) '&' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (D . g))),('not' (C . g))) is ext-real V10() V44() set
'not' (('not' ('not' (D . g))) '&' ('not' (C . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (D . g))) '&' ('not' (C . g)))) is set
(C . g) => (D . g) is ext-real V10() V43() V44() boolean set
('not' (C . g)) 'or' (D . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (C . g))) is set
('not' ('not' (C . g))) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (C . g))),('not' (D . g))) is ext-real V10() V44() set
'not' (('not' ('not' (C . g))) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (C . g))) '&' ('not' (D . g)))) is set
((D . g) => (C . g)) '&' ((C . g) => (D . g)) is ext-real V10() V43() V44() boolean set
K131(((D . g) => (C . g)),((C . g) => (D . g))) is ext-real V10() V44() set
'not' ((D . g) <=> (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,((D . g) <=> (C . g))) is set
x is Relation-like Function-like boolean-valued set
y is Relation-like Function-like boolean-valued set
(x,y) is Relation-like Function-like set
z is set
rng (x,y) is set
dom (x,y) is set
C is set
(x,y) . C is set
x . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
(x . C) 'xor' (y . C) is ext-real V10() V43() V44() boolean set
(x . C) <=> (y . C) is ext-real V10() V43() V44() boolean set
(x . C) => (y . C) is ext-real V10() V43() V44() boolean set
'not' (x . C) is ext-real V10() V43() V44() boolean set
K134(1,(x . C)) is set
('not' (x . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (x . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (x . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . C))) '&' ('not' (y . C)))) is set
(y . C) => (x . C) is ext-real V10() V43() V44() boolean set
('not' (y . C)) 'or' (x . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
('not' ('not' (y . C))) '&' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (x . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (x . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (x . C)))) is set
((x . C) => (y . C)) '&' ((y . C) => (x . C)) is ext-real V10() V43() V44() boolean set
K131(((x . C) => (y . C)),((y . C) => (x . C))) is ext-real V10() V44() set
'not' ((x . C) <=> (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,((x . C) <=> (y . C))) is set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(y,z) is Relation-like Function-like boolean-valued set
dom y is set
dom z is set
dom (y,z) is set
x /\ x is set
rng (y,z) is set
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
dom C is set
dom y is set
dom z is set
dom (y,z) is set
x /\ x is set
D is Element of x
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' (y . D)) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . D)),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' (y . D)) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . D)) '&' ('not' (z . D)))) is set
(dom y) /\ (dom z) is set
D is set
C . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
z . D is ext-real V10() V43() V44() boolean set
(y . D) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' (y . D)) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . D)),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' (y . D)) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . D)) '&' ('not' (z . D)))) is set
(y,z) is Relation-like Function-like boolean-valued set
dom y is set
dom z is set
dom (y,z) is set
x /\ x is set
rng (y,z) is set
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
dom C is set
dom y is set
dom z is set
dom (y,z) is set
x /\ x is set
D is Element of x
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) 'xor' (z . D) is ext-real V10() V43() V44() boolean set
(y . D) <=> (z . D) is ext-real V10() V43() V44() boolean set
(y . D) => (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (y . D)) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' ('not' (y . D))) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (z . D)))) is set
(z . D) => (y . D) is ext-real V10() V43() V44() boolean set
('not' (z . D)) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . D))) is set
('not' ('not' (z . D))) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . D))),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' ('not' (z . D))) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . D))) '&' ('not' (y . D)))) is set
((y . D) => (z . D)) '&' ((z . D) => (y . D)) is ext-real V10() V43() V44() boolean set
K131(((y . D) => (z . D)),((z . D) => (y . D))) is ext-real V10() V44() set
'not' ((y . D) <=> (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,((y . D) <=> (z . D))) is set
(dom y) /\ (dom z) is set
D is set
C . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
z . D is ext-real V10() V43() V44() boolean set
(y . D) 'xor' (z . D) is ext-real V10() V43() V44() boolean set
(y . D) <=> (z . D) is ext-real V10() V43() V44() boolean set
(y . D) => (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (y . D)) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' ('not' (y . D))) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (z . D)))) is set
(z . D) => (y . D) is ext-real V10() V43() V44() boolean set
('not' (z . D)) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . D))) is set
('not' ('not' (z . D))) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . D))),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' ('not' (z . D))) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . D))) '&' ('not' (y . D)))) is set
((y . D) => (z . D)) '&' ((z . D) => (y . D)) is ext-real V10() V43() V44() boolean set
K131(((y . D) => (z . D)),((z . D) => (y . D))) is ext-real V10() V44() set
'not' ((y . D) <=> (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,((y . D) <=> (z . D))) is set
x is Relation-like Function-like boolean-valued set
dom x is set
y is Relation-like Function-like boolean-valued set
dom y is set
(dom x) /\ (dom y) is set
z is Relation-like Function-like set
dom z is set
C is set
z . C is set
x . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
(x . C) => (y . C) is ext-real V10() V43() V44() boolean set
'not' (x . C) is ext-real V10() V43() V44() boolean set
K134(1,(x . C)) is set
('not' (x . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (x . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (x . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . C))) '&' ('not' (y . C)))) is set
z is Relation-like Function-like set
dom z is set
C is Relation-like Function-like set
dom C is set
D is set
z . D is set
C . D is set
x . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
(x . D) => (y . D) is ext-real V10() V43() V44() boolean set
'not' (x . D) is ext-real V10() V43() V44() boolean set
K134(1,(x . D)) is set
('not' (x . D)) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . D))) is set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' ('not' (x . D))) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . D))),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' ('not' (x . D))) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . D))) '&' ('not' (y . D)))) is set
z is Relation-like Function-like set
dom z is set
C is set
z . C is set
x . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
(x . C) <=> (y . C) is ext-real V10() V43() V44() boolean set
(x . C) => (y . C) is ext-real V10() V43() V44() boolean set
'not' (x . C) is ext-real V10() V43() V44() boolean set
K134(1,(x . C)) is set
('not' (x . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (x . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (x . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . C))) '&' ('not' (y . C)))) is set
(y . C) => (x . C) is ext-real V10() V43() V44() boolean set
('not' (y . C)) 'or' (x . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
('not' ('not' (y . C))) '&' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (x . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (x . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (x . C)))) is set
((x . C) => (y . C)) '&' ((y . C) => (x . C)) is ext-real V10() V43() V44() boolean set
K131(((x . C) => (y . C)),((y . C) => (x . C))) is ext-real V10() V44() set
z is Relation-like Function-like set
dom z is set
C is Relation-like Function-like set
dom C is set
D is set
z . D is set
C . D is set
x . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
(x . D) <=> (y . D) is ext-real V10() V43() V44() boolean set
(x . D) => (y . D) is ext-real V10() V43() V44() boolean set
'not' (x . D) is ext-real V10() V43() V44() boolean set
K134(1,(x . D)) is set
('not' (x . D)) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . D))) is set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' ('not' (x . D))) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . D))),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' ('not' (x . D))) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . D))) '&' ('not' (y . D)))) is set
(y . D) => (x . D) is ext-real V10() V43() V44() boolean set
('not' (y . D)) 'or' (x . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
('not' ('not' (y . D))) '&' ('not' (x . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (x . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (x . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (x . D)))) is set
((x . D) => (y . D)) '&' ((y . D) => (x . D)) is ext-real V10() V43() V44() boolean set
K131(((x . D) => (y . D)),((y . D) => (x . D))) is ext-real V10() V44() set
z is Relation-like Function-like set
dom z is set
C is Relation-like Function-like boolean-valued set
dom C is set
D is Relation-like Function-like boolean-valued set
dom D is set
(dom C) /\ (dom D) is set
(dom D) /\ (dom C) is set
g is set
z . g is set
D . g is ext-real V10() V43() V44() boolean set
C . g is ext-real V10() V43() V44() boolean set
(D . g) <=> (C . g) is ext-real V10() V43() V44() boolean set
(D . g) => (C . g) is ext-real V10() V43() V44() boolean set
'not' (D . g) is ext-real V10() V43() V44() boolean set
K134(1,(D . g)) is set
('not' (D . g)) 'or' (C . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (D . g))) is set
'not' (C . g) is ext-real V10() V43() V44() boolean set
K134(1,(C . g)) is set
('not' ('not' (D . g))) '&' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (D . g))),('not' (C . g))) is ext-real V10() V44() set
'not' (('not' ('not' (D . g))) '&' ('not' (C . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (D . g))) '&' ('not' (C . g)))) is set
(C . g) => (D . g) is ext-real V10() V43() V44() boolean set
('not' (C . g)) 'or' (D . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (C . g))) is set
('not' ('not' (C . g))) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (C . g))),('not' (D . g))) is ext-real V10() V44() set
'not' (('not' ('not' (C . g))) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (C . g))) '&' ('not' (D . g)))) is set
((D . g) => (C . g)) '&' ((C . g) => (D . g)) is ext-real V10() V43() V44() boolean set
K131(((D . g) => (C . g)),((C . g) => (D . g))) is ext-real V10() V44() set
x is Relation-like Function-like boolean-valued set
y is Relation-like Function-like boolean-valued set
(x,y) is Relation-like Function-like set
z is set
rng (x,y) is set
dom (x,y) is set
C is set
(x,y) . C is set
x . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
(x . C) => (y . C) is ext-real V10() V43() V44() boolean set
'not' (x . C) is ext-real V10() V43() V44() boolean set
K134(1,(x . C)) is set
('not' (x . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (x . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (x . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . C))) '&' ('not' (y . C)))) is set
(x,y) is Relation-like Function-like set
z is set
rng (x,y) is set
dom (x,y) is set
C is set
(x,y) . C is set
x . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
(x . C) 'xor' (y . C) is ext-real V10() V43() V44() boolean set
(x . C) <=> (y . C) is ext-real V10() V43() V44() boolean set
(x . C) => (y . C) is ext-real V10() V43() V44() boolean set
'not' (x . C) is ext-real V10() V43() V44() boolean set
K134(1,(x . C)) is set
('not' (x . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (x . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (x . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x . C))) '&' ('not' (y . C)))) is set
(y . C) => (x . C) is ext-real V10() V43() V44() boolean set
('not' (y . C)) 'or' (x . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
('not' ('not' (y . C))) '&' ('not' (x . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (x . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (x . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (x . C)))) is set
((x . C) => (y . C)) '&' ((y . C) => (x . C)) is ext-real V10() V43() V44() boolean set
K131(((x . C) => (y . C)),((y . C) => (x . C))) is ext-real V10() V44() set
'not' ((x . C) <=> (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,((x . C) <=> (y . C))) is set
'not' ((x . C) 'xor' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,((x . C) 'xor' (y . C))) is set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(y,z) is Relation-like Function-like boolean-valued set
dom y is set
dom z is set
dom (y,z) is set
x /\ x is set
rng (y,z) is set
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
dom z is set
dom y is set
dom (y,z) is set
x /\ x is set
D is Element of x
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) => (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (y . D)) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' ('not' (y . D))) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (z . D)))) is set
'not' (y . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . D)) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
('not' ('not' (y . D))) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (z . D)))) is set
dom C is set
D is set
C . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
z . D is ext-real V10() V43() V44() boolean set
(y . D) => (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (y . D)) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' ('not' (y . D))) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (z . D)))) is set
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . g)) is set
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . g)) 'or' (z . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . g))) is set
'not' (z . g) is ext-real V10() V43() V44() boolean set
K134(1,(z . g)) is set
('not' ('not' (y . g))) '&' ('not' (z . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . g))),('not' (z . g))) is ext-real V10() V44() set
'not' (('not' ('not' (y . g))) '&' ('not' (z . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . g))) '&' ('not' (z . g)))) is set
(dom y) /\ (dom z) is set
(y,z) is Relation-like Function-like boolean-valued set
dom y is set
dom z is set
dom (y,z) is set
x /\ x is set
rng (y,z) is set
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
dom z is set
dom y is set
dom (y,z) is set
x /\ x is set
D is Element of x
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) 'xor' (z . D) is ext-real V10() V43() V44() boolean set
(y . D) <=> (z . D) is ext-real V10() V43() V44() boolean set
(y . D) => (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (y . D)) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' ('not' (y . D))) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (z . D)))) is set
(z . D) => (y . D) is ext-real V10() V43() V44() boolean set
('not' (z . D)) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . D))) is set
('not' ('not' (z . D))) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . D))),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' ('not' (z . D))) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . D))) '&' ('not' (y . D)))) is set
((y . D) => (z . D)) '&' ((z . D) => (y . D)) is ext-real V10() V43() V44() boolean set
K131(((y . D) => (z . D)),((z . D) => (y . D))) is ext-real V10() V44() set
'not' ((y . D) <=> (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,((y . D) <=> (z . D))) is set
'not' ((y . D) 'xor' (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,((y . D) 'xor' (z . D))) is set
dom C is set
D is set
C . D is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
z . D is ext-real V10() V43() V44() boolean set
(y . D) <=> (z . D) is ext-real V10() V43() V44() boolean set
(y . D) => (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (y . D)) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . D))) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' ('not' (y . D))) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . D))),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' ('not' (y . D))) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . D))) '&' ('not' (z . D)))) is set
(z . D) => (y . D) is ext-real V10() V43() V44() boolean set
('not' (z . D)) 'or' (y . D) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . D))) is set
('not' ('not' (z . D))) '&' ('not' (y . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . D))),('not' (y . D))) is ext-real V10() V44() set
'not' (('not' ('not' (z . D))) '&' ('not' (y . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . D))) '&' ('not' (y . D)))) is set
((y . D) => (z . D)) '&' ((z . D) => (y . D)) is ext-real V10() V43() V44() boolean set
K131(((y . D) => (z . D)),((z . D) => (y . D))) is ext-real V10() V44() set
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . g) 'xor' (z . g) is ext-real V10() V43() V44() boolean set
(y . g) <=> (z . g) is ext-real V10() V43() V44() boolean set
(y . g) => (z . g) is ext-real V10() V43() V44() boolean set
'not' (y . g) is ext-real V10() V43() V44() boolean set
K134(1,(y . g)) is set
('not' (y . g)) 'or' (z . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . g))) is set
'not' (z . g) is ext-real V10() V43() V44() boolean set
K134(1,(z . g)) is set
('not' ('not' (y . g))) '&' ('not' (z . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . g))),('not' (z . g))) is ext-real V10() V44() set
'not' (('not' ('not' (y . g))) '&' ('not' (z . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . g))) '&' ('not' (z . g)))) is set
(z . g) => (y . g) is ext-real V10() V43() V44() boolean set
('not' (z . g)) 'or' (y . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . g))) is set
('not' ('not' (z . g))) '&' ('not' (y . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . g))),('not' (y . g))) is ext-real V10() V44() set
'not' (('not' ('not' (z . g))) '&' ('not' (y . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . g))) '&' ('not' (y . g)))) is set
((y . g) => (z . g)) '&' ((z . g) => (y . g)) is ext-real V10() V43() V44() boolean set
K131(((y . g) => (z . g)),((z . g) => (y . g))) is ext-real V10() V44() set
'not' ((y . g) <=> (z . g)) is ext-real V10() V43() V44() boolean set
K134(1,((y . g) <=> (z . g))) is set
'not' ((y . g) 'xor' (z . g)) is ext-real V10() V43() V44() boolean set
K134(1,((y . g) 'xor' (z . g))) is set
(dom y) /\ (dom z) is set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
x --> FALSE is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
x --> TRUE is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is Element of x
(x,(x)) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x) . y) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x) . y)) is set
y is Element of x
(x,(x)) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x) . y) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x) . y)) is set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z),C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(x,z,C)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is Element of x
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean set
(x,y,(x,z,C)) . D is ext-real V10() V43() V44() boolean set
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,z) . D) '&' (C . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(((x,y,z) . D),(C . D)) is ext-real V10() V44() set
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) '&' (z . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . D),(z . D)) is ext-real V10() V44() set
((y . D) '&' (z . D)) '&' (C . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(((y . D) '&' (z . D)),(C . D)) is ext-real V10() V44() set
(z . D) '&' (C . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((z . D),(C . D)) is ext-real V10() V44() set
(y . D) '&' ((z . D) '&' (C . D)) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . D),((z . D) '&' (C . D))) is ext-real V10() V44() set
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) '&' ((x,z,C) . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . D),((x,z,C) . D)) is ext-real V10() V44() set
(x,y,(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(x)) . z is ext-real V10() V43() V44() boolean set
(x) . z is ext-real V10() V43() V44() boolean set
(x,y,(x)) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . z) '&' ((x) . z) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . z),((x) . z)) is ext-real V10() V44() set
(y . z) '&' FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . z),FALSE) is ext-real V10() V44() set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(x)) . z is ext-real V10() V43() V44() boolean set
y . z is ext-real V10() V43() V44() boolean set
(x,y,(x)) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . z) '&' ((x) . z) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . z),((x) . z)) is ext-real V10() V44() set
(y . z) '&' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . z),TRUE) is ext-real V10() V44() set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z),C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(x,z,C)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is Element of x
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean set
(x,y,(x,z,C)) . D is ext-real V10() V43() V44() boolean set
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,z) . D) 'or' (C . D) is ext-real V10() V43() V44() boolean set
'not' ((x,y,z) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,z) . D)) is set
'not' (C . D) is ext-real V10() V43() V44() boolean set
K134(1,(C . D)) is set
('not' ((x,y,z) . D)) '&' ('not' (C . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y,z) . D)),('not' (C . D))) is ext-real V10() V44() set
'not' (('not' ((x,y,z) . D)) '&' ('not' (C . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y,z) . D)) '&' ('not' (C . D)))) is set
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' (y . D)) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . D)),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' (y . D)) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . D)) '&' ('not' (z . D)))) is set
((y . D) 'or' (z . D)) 'or' (C . D) is ext-real V10() V43() V44() boolean set
'not' ((y . D) 'or' (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,((y . D) 'or' (z . D))) is set
('not' ((y . D) 'or' (z . D))) '&' ('not' (C . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((y . D) 'or' (z . D))),('not' (C . D))) is ext-real V10() V44() set
'not' (('not' ((y . D) 'or' (z . D))) '&' ('not' (C . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((y . D) 'or' (z . D))) '&' ('not' (C . D)))) is set
(z . D) 'or' (C . D) is ext-real V10() V43() V44() boolean set
('not' (z . D)) '&' ('not' (C . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (z . D)),('not' (C . D))) is ext-real V10() V44() set
'not' (('not' (z . D)) '&' ('not' (C . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (z . D)) '&' ('not' (C . D)))) is set
(y . D) 'or' ((z . D) 'or' (C . D)) is ext-real V10() V43() V44() boolean set
'not' ((z . D) 'or' (C . D)) is ext-real V10() V43() V44() boolean set
K134(1,((z . D) 'or' (C . D))) is set
('not' (y . D)) '&' ('not' ((z . D) 'or' (C . D))) is ext-real V10() V43() V44() boolean set
K131(('not' (y . D)),('not' ((z . D) 'or' (C . D)))) is ext-real V10() V44() set
'not' (('not' (y . D)) '&' ('not' ((z . D) 'or' (C . D)))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . D)) '&' ('not' ((z . D) 'or' (C . D))))) is set
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) 'or' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
'not' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,z,C) . D)) is set
('not' (y . D)) '&' ('not' ((x,z,C) . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . D)),('not' ((x,z,C) . D))) is ext-real V10() V44() set
'not' (('not' (y . D)) '&' ('not' ((x,z,C) . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . D)) '&' ('not' ((x,z,C) . D)))) is set
(x,y,(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(x)) . z is ext-real V10() V43() V44() boolean set
y . z is ext-real V10() V43() V44() boolean set
(x,y,(x)) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . z) 'or' ((x) . z) is ext-real V10() V43() V44() boolean set
'not' (y . z) is ext-real V10() V43() V44() boolean set
K134(1,(y . z)) is set
'not' ((x) . z) is ext-real V10() V43() V44() boolean set
K134(1,((x) . z)) is set
('not' (y . z)) '&' ('not' ((x) . z)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . z)),('not' ((x) . z))) is ext-real V10() V44() set
'not' (('not' (y . z)) '&' ('not' ((x) . z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . z)) '&' ('not' ((x) . z)))) is set
(y . z) 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' (y . z)) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' (y . z)),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' (y . z)) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . z)) '&' ('not' FALSE))) is set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(x)) . z is ext-real V10() V43() V44() boolean set
(x) . z is ext-real V10() V43() V44() boolean set
(x,y,(x)) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . z) 'or' ((x) . z) is ext-real V10() V43() V44() boolean set
'not' (y . z) is ext-real V10() V43() V44() boolean set
K134(1,(y . z)) is set
'not' ((x) . z) is ext-real V10() V43() V44() boolean set
K134(1,((x) . z)) is set
('not' (y . z)) '&' ('not' ((x) . z)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . z)),('not' ((x) . z))) is ext-real V10() V44() set
'not' (('not' (y . z)) '&' ('not' ((x) . z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . z)) '&' ('not' ((x) . z)))) is set
(y . z) 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
('not' (y . z)) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' (y . z)),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' (y . z)) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . z)) '&' ('not' TRUE))) is set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z),C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,C),(x,z,C)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is Element of x
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean set
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,z) . D) 'or' (C . D) is ext-real V10() V43() V44() boolean set
'not' ((x,y,z) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,z) . D)) is set
'not' (C . D) is ext-real V10() V43() V44() boolean set
K134(1,(C . D)) is set
('not' ((x,y,z) . D)) '&' ('not' (C . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y,z) . D)),('not' (C . D))) is ext-real V10() V44() set
'not' (('not' ((x,y,z) . D)) '&' ('not' (C . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y,z) . D)) '&' ('not' (C . D)))) is set
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) '&' (z . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . D),(z . D)) is ext-real V10() V44() set
((y . D) '&' (z . D)) 'or' (C . D) is ext-real V10() V43() V44() boolean set
'not' ((y . D) '&' (z . D)) is ext-real V10() V43() V44() boolean set
K134(1,((y . D) '&' (z . D))) is set
('not' ((y . D) '&' (z . D))) '&' ('not' (C . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((y . D) '&' (z . D))),('not' (C . D))) is ext-real V10() V44() set
'not' (('not' ((y . D) '&' (z . D))) '&' ('not' (C . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((y . D) '&' (z . D))) '&' ('not' (C . D)))) is set
(y . D) 'or' (C . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
('not' (y . D)) '&' ('not' (C . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . D)),('not' (C . D))) is ext-real V10() V44() set
'not' (('not' (y . D)) '&' ('not' (C . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . D)) '&' ('not' (C . D)))) is set
(z . D) 'or' (C . D) is ext-real V10() V43() V44() boolean set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' (z . D)) '&' ('not' (C . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (z . D)),('not' (C . D))) is ext-real V10() V44() set
'not' (('not' (z . D)) '&' ('not' (C . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (z . D)) '&' ('not' (C . D)))) is set
((y . D) 'or' (C . D)) '&' ((z . D) 'or' (C . D)) is ext-real V10() V43() V44() boolean set
K131(((y . D) 'or' (C . D)),((z . D) 'or' (C . D))) is ext-real V10() V44() set
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((y . D) 'or' (C . D)) '&' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
K131(((y . D) 'or' (C . D)),((x,z,C) . D)) is ext-real V10() V44() set
(x,y,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,C) . D) '&' ((x,z,C) . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(((x,y,C) . D),((x,z,C) . D)) is ext-real V10() V44() set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z),C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,C),(x,z,C)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is Element of x
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean set
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,z) . D) '&' (C . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(((x,y,z) . D),(C . D)) is ext-real V10() V44() set
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . D) 'or' (z . D) is ext-real V10() V43() V44() boolean set
'not' (y . D) is ext-real V10() V43() V44() boolean set
K134(1,(y . D)) is set
'not' (z . D) is ext-real V10() V43() V44() boolean set
K134(1,(z . D)) is set
('not' (y . D)) '&' ('not' (z . D)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . D)),('not' (z . D))) is ext-real V10() V44() set
'not' (('not' (y . D)) '&' ('not' (z . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . D)) '&' ('not' (z . D)))) is set
((y . D) 'or' (z . D)) '&' (C . D) is ext-real V10() V43() V44() boolean set
K131(((y . D) 'or' (z . D)),(C . D)) is ext-real V10() V44() set
(y . D) '&' (C . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . D),(C . D)) is ext-real V10() V44() set
(z . D) '&' (C . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((z . D),(C . D)) is ext-real V10() V44() set
((y . D) '&' (C . D)) 'or' ((z . D) '&' (C . D)) is ext-real V10() V43() V44() boolean set
'not' ((y . D) '&' (C . D)) is ext-real V10() V43() V44() boolean set
K134(1,((y . D) '&' (C . D))) is set
'not' ((z . D) '&' (C . D)) is ext-real V10() V43() V44() boolean set
K134(1,((z . D) '&' (C . D))) is set
('not' ((y . D) '&' (C . D))) '&' ('not' ((z . D) '&' (C . D))) is ext-real V10() V43() V44() boolean set
K131(('not' ((y . D) '&' (C . D))),('not' ((z . D) '&' (C . D)))) is ext-real V10() V44() set
'not' (('not' ((y . D) '&' (C . D))) '&' ('not' ((z . D) '&' (C . D)))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((y . D) '&' (C . D))) '&' ('not' ((z . D) '&' (C . D))))) is set
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((y . D) '&' (C . D)) 'or' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
'not' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,z,C) . D)) is set
('not' ((y . D) '&' (C . D))) '&' ('not' ((x,z,C) . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((y . D) '&' (C . D))),('not' ((x,z,C) . D))) is ext-real V10() V44() set
'not' (('not' ((y . D) '&' (C . D))) '&' ('not' ((x,z,C) . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((y . D) '&' (C . D))) '&' ('not' ((x,z,C) . D)))) is set
(x,y,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,C) . D) 'or' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
'not' ((x,y,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,C) . D)) is set
('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y,C) . D)),('not' ((x,z,C) . D))) is ext-real V10() V44() set
'not' (('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)))) is set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),(x,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,(x,y,z)) . C is ext-real V10() V43() V44() boolean set
(x,(x,y),(x,z)) . C is ext-real V10() V43() V44() boolean set
(x,(x,y,z)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x,y,z) . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x,y,z) . C)) is set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' (y . C)) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . C)),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' (y . C)) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . C)) '&' ('not' (z . C)))) is set
'not' ((y . C) 'or' (z . C)) is ext-real V10() V43() V44() boolean set
K134(1,((y . C) 'or' (z . C))) is set
(x,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y) . C) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(((x,y) . C),('not' (z . C))) is ext-real V10() V44() set
(x,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y) . C) '&' ((x,z) . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(((x,y) . C),((x,z) . C)) is ext-real V10() V44() set
(x,(x,y),(x,z)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),(x,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,(x,y,z)) . C is ext-real V10() V43() V44() boolean set
(x,(x,y),(x,z)) . C is ext-real V10() V43() V44() boolean set
(x,(x,y,z)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x,y,z) . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x,y,z) . C)) is set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . C)) is set
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(z . C)) is set
('not' (y . C)) 'or' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
'not' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . C))) is set
('not' ('not' (y . C))) '&' ('not' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' ('not' (z . C)))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' ('not' (z . C)))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' ('not' (z . C))))) is set
(x,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . C)) 'or' ((x,z) . C) is ext-real V10() V43() V44() boolean set
'not' ((x,z) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,z) . C)) is set
('not' ('not' (y . C))) '&' ('not' ((x,z) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' ((x,z) . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' ((x,z) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' ((x,z) . C)))) is set
(x,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y) . C) 'or' ((x,z) . C) is ext-real V10() V43() V44() boolean set
'not' ((x,y) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,y) . C)) is set
('not' ((x,y) . C)) '&' ('not' ((x,z) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y) . C)),('not' ((x,z) . C))) is ext-real V10() V44() set
'not' (('not' ((x,y) . C)) '&' ('not' ((x,z) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y) . C)) '&' ('not' ((x,z) . C)))) is set
(x,(x,y),(x,z)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is Element of x
C . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
u is Element of x
D . u is ext-real V10() V43() V44() boolean set
g . u is ext-real V10() V43() V44() boolean set
D . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
g . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
u is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
u is Element of x
D . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
g . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,C,D) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (C . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(C . g)) is set
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (C . g)) 'or' (D . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (C . g))) is set
'not' (D . g) is ext-real V10() V43() V44() boolean set
K134(1,(D . g)) is set
('not' ('not' (C . g))) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (C . g))),('not' (D . g))) is ext-real V10() V44() set
'not' (('not' ('not' (C . g))) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (C . g))) '&' ('not' (D . g)))) is set
g is Element of x
(x,C,D) . g is ext-real V10() V43() V44() boolean set
(x) . g is ext-real V10() V43() V44() boolean set
(x,C,D) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (C . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(C . g)) is set
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (C . g)) 'or' (D . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (C . g))) is set
'not' (D . g) is ext-real V10() V43() V44() boolean set
K134(1,(D . g)) is set
('not' ('not' (C . g))) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (C . g))),('not' (D . g))) is ext-real V10() V44() set
'not' (('not' ('not' (C . g))) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (C . g))) '&' ('not' (D . g)))) is set
(x) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,C,D) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (C . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(C . g)) is set
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (C . g)) 'or' (D . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (C . g))) is set
'not' (D . g) is ext-real V10() V43() V44() boolean set
K134(1,(D . g)) is set
('not' ('not' (C . g))) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (C . g))),('not' (D . g))) is ext-real V10() V44() set
'not' (('not' ('not' (C . g))) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (C . g))) '&' ('not' (D . g)))) is set
(x,C,D) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (C . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(C . g)) is set
('not' (C . g)) 'or' (D . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (C . g))) is set
'not' (D . g) is ext-real V10() V43() V44() boolean set
K134(1,(D . g)) is set
('not' ('not' (C . g))) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (C . g))),('not' (D . g))) is ext-real V10() V44() set
'not' (('not' ('not' (C . g))) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (C . g))) '&' ('not' (D . g)))) is set
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,C,D) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (C . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(C . g)) is set
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (C . g)) '&' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(('not' (C . g)),(D . g)) is ext-real V10() V44() set
'not' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(D . g)) is set
(C . g) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((C . g),('not' (D . g))) is ext-real V10() V44() set
(('not' (C . g)) '&' (D . g)) 'or' ((C . g) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
'not' (('not' (C . g)) '&' (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (C . g)) '&' (D . g))) is set
'not' ((C . g) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,((C . g) '&' ('not' (D . g)))) is set
('not' (('not' (C . g)) '&' (D . g))) '&' ('not' ((C . g) '&' ('not' (D . g)))) is ext-real V10() V43() V44() boolean set
K131(('not' (('not' (C . g)) '&' (D . g))),('not' ((C . g) '&' ('not' (D . g))))) is ext-real V10() V44() set
'not' (('not' (('not' (C . g)) '&' (D . g))) '&' ('not' ((C . g) '&' ('not' (D . g))))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (('not' (C . g)) '&' (D . g))) '&' ('not' ((C . g) '&' ('not' (D . g)))))) is set
(x,C,D) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(C . g) 'xor' (D . g) is ext-real V10() V43() V44() boolean set
(C . g) <=> (D . g) is ext-real V10() V43() V44() boolean set
(C . g) => (D . g) is ext-real V10() V43() V44() boolean set
'not' (C . g) is ext-real V10() V43() V44() boolean set
('not' (C . g)) 'or' (D . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (C . g))) is set
'not' (D . g) is ext-real V10() V43() V44() boolean set
('not' ('not' (C . g))) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (C . g))),('not' (D . g))) is ext-real V10() V44() set
'not' (('not' ('not' (C . g))) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (C . g))) '&' ('not' (D . g)))) is set
(D . g) => (C . g) is ext-real V10() V43() V44() boolean set
('not' (D . g)) 'or' (C . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (D . g))) is set
('not' ('not' (D . g))) '&' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (D . g))),('not' (C . g))) is ext-real V10() V44() set
'not' (('not' ('not' (D . g))) '&' ('not' (C . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (D . g))) '&' ('not' (C . g)))) is set
((C . g) => (D . g)) '&' ((D . g) => (C . g)) is ext-real V10() V43() V44() boolean set
K131(((C . g) => (D . g)),((D . g) => (C . g))) is ext-real V10() V44() set
'not' ((C . g) <=> (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,((C . g) <=> (D . g))) is set
'not' ((C . g) 'xor' (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,((C . g) 'xor' (D . g))) is set
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (C . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(C . g)) is set
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (C . g)) '&' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(('not' (C . g)),(D . g)) is ext-real V10() V44() set
'not' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(D . g)) is set
(C . g) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((C . g),('not' (D . g))) is ext-real V10() V44() set
(('not' (C . g)) '&' (D . g)) 'or' ((C . g) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
'not' (('not' (C . g)) '&' (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (C . g)) '&' (D . g))) is set
'not' ((C . g) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,((C . g) '&' ('not' (D . g)))) is set
('not' (('not' (C . g)) '&' (D . g))) '&' ('not' ((C . g) '&' ('not' (D . g)))) is ext-real V10() V43() V44() boolean set
K131(('not' (('not' (C . g)) '&' (D . g))),('not' ((C . g) '&' ('not' (D . g))))) is ext-real V10() V44() set
'not' (('not' (('not' (C . g)) '&' (D . g))) '&' ('not' ((C . g) '&' ('not' (D . g))))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (('not' (C . g)) '&' (D . g))) '&' ('not' ((C . g) '&' ('not' (D . g)))))) is set
g is Element of x
C . g is ext-real V10() V43() V44() boolean set
D . g is ext-real V10() V43() V44() boolean set
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (C . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(C . g)) is set
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (C . g)) '&' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(('not' (C . g)),(D . g)) is ext-real V10() V44() set
'not' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(D . g)) is set
(C . g) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((C . g),('not' (D . g))) is ext-real V10() V44() set
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,C,D) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is Element of x
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (C . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(C . g)) is set
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (C . g)) '&' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(('not' (C . g)),(D . g)) is ext-real V10() V44() set
'not' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(D . g)) is set
(C . g) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((C . g),('not' (D . g))) is ext-real V10() V44() set
g is Element of x
(x,C,D) . g is ext-real V10() V43() V44() boolean set
(x) . g is ext-real V10() V43() V44() boolean set
C . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (D . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(D . g)) is set
(C . g) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((C . g),('not' (D . g))) is ext-real V10() V44() set
(C . g) 'xor' (D . g) is ext-real V10() V43() V44() boolean set
(C . g) <=> (D . g) is ext-real V10() V43() V44() boolean set
(C . g) => (D . g) is ext-real V10() V43() V44() boolean set
'not' (C . g) is ext-real V10() V43() V44() boolean set
K134(1,(C . g)) is set
('not' (C . g)) 'or' (D . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (C . g))) is set
'not' (D . g) is ext-real V10() V43() V44() boolean set
('not' ('not' (C . g))) '&' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (C . g))),('not' (D . g))) is ext-real V10() V44() set
'not' (('not' ('not' (C . g))) '&' ('not' (D . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (C . g))) '&' ('not' (D . g)))) is set
(D . g) => (C . g) is ext-real V10() V43() V44() boolean set
('not' (D . g)) 'or' (C . g) is ext-real V10() V43() V44() boolean set
'not' ('not' (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (D . g))) is set
('not' ('not' (D . g))) '&' ('not' (C . g)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (D . g))),('not' (C . g))) is ext-real V10() V44() set
'not' (('not' ('not' (D . g))) '&' ('not' (C . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (D . g))) '&' ('not' (C . g)))) is set
((C . g) => (D . g)) '&' ((D . g) => (C . g)) is ext-real V10() V43() V44() boolean set
K131(((C . g) => (D . g)),((D . g) => (C . g))) is ext-real V10() V44() set
'not' ((C . g) <=> (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,((C . g) <=> (D . g))) is set
'not' ((C . g) 'xor' (D . g)) is ext-real V10() V43() V44() boolean set
K134(1,((C . g) 'xor' (D . g))) is set
(x,C,D) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,(x),y) . z is ext-real V10() V43() V44() boolean set
(x) . z is ext-real V10() V43() V44() boolean set
(x,(x),y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x) . z) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x) . z)) is set
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' ((x) . z)) 'or' (y . z) is ext-real V10() V43() V44() boolean set
'not' ('not' ((x) . z)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ((x) . z))) is set
'not' (y . z) is ext-real V10() V43() V44() boolean set
K134(1,(y . z)) is set
('not' ('not' ((x) . z))) '&' ('not' (y . z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ((x) . z))),('not' (y . z))) is ext-real V10() V44() set
'not' (('not' ('not' ((x) . z))) '&' ('not' (y . z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ((x) . z))) '&' ('not' (y . z)))) is set
TRUE 'or' (y . z) is ext-real V10() V43() V44() boolean set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
('not' TRUE) '&' ('not' (y . z)) is ext-real V10() V43() V44() boolean set
K131(('not' TRUE),('not' (y . z))) is ext-real V10() V44() set
'not' (('not' TRUE) '&' ('not' (y . z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' TRUE) '&' ('not' (y . z)))) is set
(x,y,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(x)) . z is ext-real V10() V43() V44() boolean set
(x) . z is ext-real V10() V43() V44() boolean set
(x,y,(x)) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . z) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . z)) is set
(x) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . z)) 'or' ((x) . z) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . z)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . z))) is set
'not' ((x) . z) is ext-real V10() V43() V44() boolean set
K134(1,((x) . z)) is set
('not' ('not' (y . z))) '&' ('not' ((x) . z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . z))),('not' ((x) . z))) is ext-real V10() V44() set
'not' (('not' ('not' (y . z))) '&' ('not' ((x) . z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . z))) '&' ('not' ((x) . z)))) is set
('not' (y . z)) 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
('not' ('not' (y . z))) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . z))),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' ('not' (y . z))) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . z))) '&' ('not' TRUE))) is set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . z) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . z)) is set
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . z) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . z)) is set
z is Element of x
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,TRUE) is set
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . z) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . z)) is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,FALSE) is set
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . z) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . z)) is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is Element of x
(x) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
y is Element of x
(x) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
y is Element of x
(x) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
y is Element of x
(x) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
y is Element of x
(x) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
(x) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
y is Element of x
(x) . y is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
(x) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
dom (x) is set
y is set
z is set
(x) . y is ext-real V10() V43() V44() boolean set
(x) . z is ext-real V10() V43() V44() boolean set
D is Element of x
(x) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
dom (x) is set
y is set
z is set
(x) . y is ext-real V10() V43() V44() boolean set
(x) . z is ext-real V10() V43() V44() boolean set
D is Element of x
(x) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
y is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
dom y is set
z is set
C is set
y . z is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),(x,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),(x,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) '&' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . C),(z . C)) is ext-real V10() V44() set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) '&' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . C),(z . C)) is ext-real V10() V44() set
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' (y . C)) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . C)),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' (y . C)) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . C)) '&' ('not' (z . C)))) is set
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x,y),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' (y . C)) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . C)),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' (y . C)) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . C)) '&' ('not' (z . C)))) is set
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) '&' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . C),(z . C)) is ext-real V10() V44() set
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' (y . C)) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . C)),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' (y . C)) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . C)) '&' ('not' (z . C)))) is set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' (y . C)) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . C)),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' (y . C)) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . C)) '&' ('not' (z . C)))) is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . C) '&' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . C),(z . C)) is ext-real V10() V44() set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
(x,y,z) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
(x,y,z) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,z,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,(x),(x)) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x),(x)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,TRUE) is set
('not' TRUE) 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K134(1,('not' TRUE)) is set
'not' TRUE is ext-real V10() V43() V44() boolean set
('not' ('not' TRUE)) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' TRUE)),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' ('not' TRUE)) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' TRUE)) '&' ('not' TRUE))) is set
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),(x,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,(x),(x)) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean set
(x,(x),(x)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x) . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x) . C)) is set
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' ((x) . C)) 'or' ((x) . C) is ext-real V10() V43() V44() boolean set
'not' ('not' ((x) . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ((x) . C))) is set
'not' ((x) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x) . C)) is set
('not' ('not' ((x) . C))) '&' ('not' ((x) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ((x) . C))),('not' ((x) . C))) is ext-real V10() V44() set
'not' (('not' ('not' ((x) . C))) '&' ('not' ((x) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ((x) . C))) '&' ('not' ((x) . C)))) is set
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,(x),(x)) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x) . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x) . C)) is set
('not' ((x) . C)) 'or' ((x) . C) is ext-real V10() V43() V44() boolean set
'not' ('not' ((x) . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ((x) . C))) is set
'not' ((x) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x) . C)) is set
('not' ('not' ((x) . C))) '&' ('not' ((x) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ((x) . C))),('not' ((x) . C))) is ext-real V10() V44() set
'not' (('not' ('not' ((x) . C))) '&' ('not' ((x) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ((x) . C))) '&' ('not' ((x) . C)))) is set
'not' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,TRUE) is set
('not' TRUE) 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K134(1,('not' TRUE)) is set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' ('not' TRUE)) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' TRUE)),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' ('not' TRUE)) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' TRUE)) '&' ('not' FALSE))) is set
(x,(x),(x)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,(x),(x)) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x),(x)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
TRUE 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' TRUE) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' TRUE),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' TRUE) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' TRUE) '&' ('not' FALSE))) is set
(x,(x,z),(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),(x,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,TRUE) is set
('not' TRUE) 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K134(1,('not' TRUE)) is set
'not' TRUE is ext-real V10() V43() V44() boolean set
('not' ('not' TRUE)) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' TRUE)),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' ('not' TRUE)) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' TRUE)) '&' ('not' TRUE))) is set
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,TRUE) is set
('not' TRUE) 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K134(1,('not' TRUE)) is set
'not' TRUE is ext-real V10() V43() V44() boolean set
('not' ('not' TRUE)) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' TRUE)),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' ('not' TRUE)) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' TRUE)) '&' ('not' TRUE))) is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(z . C)) is set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (z . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (z . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (z . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . C))) '&' ('not' (y . C)))) is set
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,FALSE) is set
('not' FALSE) 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K134(1,('not' FALSE)) is set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
('not' ('not' FALSE)) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' FALSE)),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' ('not' FALSE)) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' FALSE)) '&' ('not' TRUE))) is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(z . C)) is set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (z . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (z . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (z . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . C))) '&' ('not' (y . C)))) is set
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . C)) is set
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . C)) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' ('not' (y . C))) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (z . C)))) is set
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . C)) is set
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . C)) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' ('not' (y . C))) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (z . C)))) is set
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y) . C) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' ((x,y) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,y) . C)) is set
('not' ((x,y) . C)) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y) . C)),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' ((x,y) . C)) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y) . C)) '&' ('not' (z . C)))) is set
(x,(x,y),z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x,y),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),(x)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(z . C)) is set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (z . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (z . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (z . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . C))) '&' ('not' (y . C)))) is set
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,z) . C) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ((x,z) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,z) . C)) is set
('not' ((x,z) . C)) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,z) . C)),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ((x,z) . C)) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,z) . C)) '&' ('not' (y . C)))) is set
(x,(x,z),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,z),y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,(x)),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,(x)),y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,TRUE) is set
('not' TRUE) 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K134(1,('not' TRUE)) is set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' ('not' TRUE)) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' TRUE)),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' ('not' TRUE)) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' TRUE)) '&' ('not' FALSE))) is set
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,FALSE) is set
('not' FALSE) 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K134(1,('not' FALSE)) is set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
('not' ('not' FALSE)) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' FALSE)),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' ('not' FALSE)) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' FALSE)) '&' ('not' TRUE))) is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,FALSE) is set
('not' FALSE) 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K134(1,('not' FALSE)) is set
'not' FALSE is ext-real V10() V43() V44() boolean set
('not' ('not' FALSE)) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' FALSE)),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' ('not' FALSE)) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' FALSE)) '&' ('not' FALSE))) is set
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . C)) is set
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . C)) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' ('not' (y . C))) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (z . C)))) is set
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . C)) is set
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . C)) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' ('not' (y . C))) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (z . C)))) is set
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(z . C)) is set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (z . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (z . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (z . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . C))) '&' ('not' (y . C)))) is set
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (z . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(z . C)) is set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (z . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (z . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' (z . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (z . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' (z . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (z . C))) '&' ('not' (y . C)))) is set
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,z) . C) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ((x,z) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,z) . C)) is set
('not' ((x,z) . C)) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,z) . C)),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ((x,z) . C)) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,z) . C)) '&' ('not' (y . C)))) is set
(x,(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,(x)),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,(x)),y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,y,z) . C is ext-real V10() V43() V44() boolean set
(x,y) . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . C)) is set
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . C)) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
('not' ('not' (y . C))) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' (z . C)))) is set
(x,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y) . C) 'or' (z . C) is ext-real V10() V43() V44() boolean set
'not' ((x,y) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,y) . C)) is set
('not' ((x,y) . C)) '&' ('not' (z . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y) . C)),('not' (z . C))) is ext-real V10() V44() set
'not' (('not' ((x,y) . C)) '&' ('not' (z . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y) . C)) '&' ('not' (z . C)))) is set
(x,(x,y),z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
z . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,z,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,z,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,z),(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,z),(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
TRUE '&' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(TRUE,TRUE) is ext-real V10() V44() set
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(z . C) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' (z . C)) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (z . C)),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' (z . C)) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (z . C)) '&' ('not' (y . C)))) is set
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(z . C) '&' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((z . C),(y . C)) is ext-real V10() V44() set
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(z . C) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' (z . C)) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (z . C)),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' (z . C)) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (z . C)) '&' ('not' (y . C)))) is set
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
TRUE '&' FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(TRUE,FALSE) is ext-real V10() V44() set
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
TRUE 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' TRUE) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' TRUE),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' TRUE) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' TRUE) '&' ('not' FALSE))) is set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x) . C) '&' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(((x) . C),(y . C)) is ext-real V10() V44() set
TRUE '&' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(TRUE,(y . C)) is ext-real V10() V44() set
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(z . C) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' (z . C)) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (z . C)),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' (z . C)) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (z . C)) '&' ('not' (y . C)))) is set
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(z . C) '&' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((z . C),(y . C)) is ext-real V10() V44() set
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
FALSE 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' FALSE) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' FALSE),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' FALSE) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' FALSE) '&' ('not' FALSE))) is set
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
FALSE '&' FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(FALSE,FALSE) is ext-real V10() V44() set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
FALSE 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
('not' FALSE) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' FALSE),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' FALSE) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' FALSE) '&' ('not' TRUE))) is set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
FALSE '&' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(FALSE,TRUE) is ext-real V10() V44() set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
(x,z,y) . C is ext-real V10() V43() V44() boolean set
y . C is ext-real V10() V43() V44() boolean set
(x,z,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(z . C) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' (z . C) is ext-real V10() V43() V44() boolean set
K134(1,(z . C)) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' (z . C)) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' (z . C)),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' (z . C)) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (z . C)) '&' ('not' (y . C)))) is set
FALSE 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' FALSE) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' FALSE),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' FALSE) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' FALSE) '&' ('not' (y . C)))) is set
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
z . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
z . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
z . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y) . z) => (y . z) is ext-real V10() V43() V44() boolean set
'not' ((x,y) . z) is ext-real V10() V43() V44() boolean set
K134(1,((x,y) . z)) is set
('not' ((x,y) . z)) 'or' (y . z) is ext-real V10() V43() V44() boolean set
'not' ('not' ((x,y) . z)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ((x,y) . z))) is set
'not' (y . z) is ext-real V10() V43() V44() boolean set
K134(1,(y . z)) is set
('not' ('not' ((x,y) . z))) '&' ('not' (y . z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ((x,y) . z))),('not' (y . z))) is ext-real V10() V44() set
'not' (('not' ('not' ((x,y) . z))) '&' ('not' (y . z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ((x,y) . z))) '&' ('not' (y . z)))) is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . z) => ((x,y) . z) is ext-real V10() V43() V44() boolean set
'not' (y . z) is ext-real V10() V43() V44() boolean set
K134(1,(y . z)) is set
('not' (y . z)) 'or' ((x,y) . z) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . z)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . z))) is set
'not' ((x,y) . z) is ext-real V10() V43() V44() boolean set
K134(1,((x,y) . z)) is set
('not' ('not' (y . z))) '&' ('not' ((x,y) . z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . z))),('not' ((x,y) . z))) is ext-real V10() V44() set
'not' (('not' ('not' (y . z))) '&' ('not' ((x,y) . z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . z))) '&' ('not' ((x,y) . z)))) is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
SmallestPartition x is non empty with_non-empty_elements a_partition of x
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is set
bool x is non empty set
{ b₁ where b₁ is Element of bool x : ex b₂ being set st
( b₁ = {b₂} & b₂ in x ) } is set
C is Element of bool x
D is set
{D} is set
C is set
{C} is set
D is set
g is set
y . D is ext-real V10() V43() V44() boolean set
y . g is ext-real V10() V43() V44() boolean set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
%O x is non empty with_non-empty_elements a_partition of x
y is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is set
D is set
y . C is ext-real V10() V43() V44() boolean set
y . D is ext-real V10() V43() V44() boolean set
x is non empty set
y is non empty with_non-empty_elements a_partition of x
bool x is non empty set
z is Element of y
x is non empty set
y is Element of x
z is non empty with_non-empty_elements a_partition of x
EqClass (y,z) is Element of bool x
bool x is non empty set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
z is non empty with_non-empty_elements a_partition of x
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,C,z) is (x,z)
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
u is Element of x
(x,u,z) is (x,z)
g . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
u is Element of x
(x,u,z) is (x,z)
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
g . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is Element of x
C . g is ext-real V10() V43() V44() boolean set
D . g is ext-real V10() V43() V44() boolean set
(x,g,z) is (x,z)
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
z is non empty with_non-empty_elements a_partition of x
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,C,z) is (x,z)
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
u is Element of x
u is Element of x
(x,u,z) is (x,z)
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
g . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
(x,t,z) is (x,z)
g . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
g is Element of x
C . g is ext-real V10() V43() V44() boolean set
D . g is ext-real V10() V43() V44() boolean set
(x,g,z) is (x,z)
D . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty with_non-empty_elements a_partition of x
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is set
D is set
g is set
(x,y,z) . D is ext-real V10() V43() V44() boolean set
(x,y,z) . g is ext-real V10() V43() V44() boolean set
u is Element of x
(x,u,z) is (x,z)
u is Element of x
(x,u,z) is (x,z)
(x,y,z) . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty with_non-empty_elements a_partition of x
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is set
D is set
g is set
(x,y,z) . D is ext-real V10() V43() V44() boolean set
(x,y,z) . g is ext-real V10() V43() V44() boolean set
u is Element of x
(x,u,z) is (x,z)
u is Element of x
(x,u,z) is (x,z)
(x,y,z) . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty with_non-empty_elements a_partition of x
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,(x,y,z),y) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean set
(x,C,z) is (x,z)
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x,y,z) . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x,y,z) . C)) is set
(x,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' ((x,y,z) . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' ((x,y,z) . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ((x,y,z) . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' ((x,y,z) . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ((x,y,z) . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' ((x,y,z) . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ((x,y,z) . C))) '&' ('not' (y . C)))) is set
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,(x,y,z)) . C) 'or' ((x) . C) is ext-real V10() V43() V44() boolean set
'not' ((x,(x,y,z)) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,(x,y,z)) . C)) is set
'not' ((x) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x) . C)) is set
('not' ((x,(x,y,z)) . C)) '&' ('not' ((x) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,(x,y,z)) . C)),('not' ((x) . C))) is ext-real V10() V44() set
'not' (('not' ((x,(x,y,z)) . C)) '&' ('not' ((x) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,(x,y,z)) . C)) '&' ('not' ((x) . C)))) is set
(x,(x,(x,y,z)),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,(x,y,z)),(x)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,C,z) is (x,z)
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' ((x,y,z) . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,((x,y,z) . C)) is set
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' ((x,y,z) . C)) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ('not' ((x,y,z) . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ((x,y,z) . C))) is set
'not' (y . C) is ext-real V10() V43() V44() boolean set
K134(1,(y . C)) is set
('not' ('not' ((x,y,z) . C))) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ((x,y,z) . C))),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ('not' ((x,y,z) . C))) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ((x,y,z) . C))) '&' ('not' (y . C)))) is set
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x) . C) 'or' (y . C) is ext-real V10() V43() V44() boolean set
'not' ((x) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x) . C)) is set
('not' ((x) . C)) '&' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x) . C)),('not' (y . C))) is ext-real V10() V44() set
'not' (('not' ((x) . C)) '&' ('not' (y . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x) . C)) '&' ('not' (y . C)))) is set
(x,(x),y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,C,z) is (x,z)
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty with_non-empty_elements a_partition of x
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,y,(x,y,z)) . C is ext-real V10() V43() V44() boolean set
(x) . C is ext-real V10() V43() V44() boolean set
(x,C,z) is (x,z)
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . C)) is set
('not' (y . C)) 'or' ((x,y,z) . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
'not' ((x,y,z) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,z) . C)) is set
('not' ('not' (y . C))) '&' ('not' ((x,y,z) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' ((x,y,z) . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' ((x,y,z) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' ((x,y,z) . C)))) is set
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y) . C) 'or' ((x) . C) is ext-real V10() V43() V44() boolean set
'not' ((x,y) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,y) . C)) is set
'not' ((x) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x) . C)) is set
('not' ((x,y) . C)) '&' ('not' ((x) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y) . C)),('not' ((x) . C))) is ext-real V10() V44() set
'not' (('not' ((x,y) . C)) '&' ('not' ((x) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y) . C)) '&' ('not' ((x) . C)))) is set
(x,(x,y),(x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),(x)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,C,z) is (x,z)
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' (y . C) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,(y . C)) is set
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
('not' (y . C)) 'or' ((x,y,z) . C) is ext-real V10() V43() V44() boolean set
'not' ('not' (y . C)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (y . C))) is set
'not' ((x,y,z) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,z) . C)) is set
('not' ('not' (y . C))) '&' ('not' ((x,y,z) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (y . C))),('not' ((x,y,z) . C))) is ext-real V10() V44() set
'not' (('not' ('not' (y . C))) '&' ('not' ((x,y,z) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (y . C))) '&' ('not' ((x,y,z) . C)))) is set
(x) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x) . C) 'or' ((x,y,z) . C) is ext-real V10() V43() V44() boolean set
'not' ((x) . C) is ext-real V10() V43() V44() boolean set
K134(1,((x) . C)) is set
('not' ((x) . C)) '&' ('not' ((x,y,z) . C)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x) . C)),('not' ((x,y,z) . C))) is ext-real V10() V44() set
'not' (('not' ((x) . C)) '&' ('not' ((x,y,z) . C))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x) . C)) '&' ('not' ((x,y,z) . C)))) is set
(x,(x),(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x),(x,y,z)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,C,z) is (x,z)
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty with_non-empty_elements a_partition of x
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,z)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y),z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
(x,(x,y,z)) . C is ext-real V10() V43() V44() boolean set
(x,(x,y),z) . C is ext-real V10() V43() V44() boolean set
(x,C,z) is (x,z)
D is Element of x
(x,y) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
(x,y) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x,y)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,TRUE) is set
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
'not' FALSE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K134(1,FALSE) is set
(x,y,z) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,(x,y,z)) . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
(x,y) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
(x,y) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
(x,y) . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
%O x is non empty with_non-empty_elements a_partition of x
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(%O x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(%O x)) . z is ext-real V10() V43() V44() boolean set
(x,y) . z is ext-real V10() V43() V44() boolean set
(x,z,(%O x)) is (x, %O x)
{x} is set
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
%O x is non empty with_non-empty_elements a_partition of x
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(%O x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(%O x)) . z is ext-real V10() V43() V44() boolean set
(x,y) . z is ext-real V10() V43() V44() boolean set
(x,z,(%O x)) is (x, %O x)
{x} is set
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x) is non empty Relation-like x -defined BOOLEAN -valued Function-like constant V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
SmallestPartition x is non empty with_non-empty_elements a_partition of x
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(SmallestPartition x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(SmallestPartition x)) . z is ext-real V10() V43() V44() boolean set
y . z is ext-real V10() V43() V44() boolean set
(x,z,(SmallestPartition x)) is (x, SmallestPartition x)
bool x is non empty set
{ b₁ where b₁ is Element of bool x : ex b₂ being set st
( b₁ = {b₂} & b₂ in x ) } is set
C is Element of bool x
D is set
{D} is set
C is set
{C} is set
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
SmallestPartition x is non empty with_non-empty_elements a_partition of x
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,(SmallestPartition x)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is Element of x
(x,y,(SmallestPartition x)) . z is ext-real V10() V43() V44() boolean set
y . z is ext-real V10() V43() V44() boolean set
(x,z,(SmallestPartition x)) is (x, SmallestPartition x)
bool x is non empty set
{ b₁ where b₁ is Element of bool x : ex b₂ being set st
( b₁ = {b₂} & b₂ in x ) } is set
C is Element of bool x
D is set
{D} is set
C is set
{C} is set
y . z is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of x
y . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of x
y . C is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty with_non-empty_elements a_partition of x
(x,(x,y,z),C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,C),(x,z,C)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is Element of x
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean set
(x,D,C) is (x,C)
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,C) . D) '&' ((x,z,C) . D) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(((x,y,C) . D),((x,z,C) . D)) is ext-real V10() V44() set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . g) '&' (z . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . g),(z . g)) is ext-real V10() V44() set
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . g) '&' (z . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . g),(z . g)) is ext-real V10() V44() set
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . g) '&' (z . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . g),(z . g)) is ext-real V10() V44() set
TRUE '&' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(TRUE,TRUE) is ext-real V10() V44() set
TRUE '&' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(TRUE,TRUE) is ext-real V10() V44() set
FALSE '&' TRUE is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131(FALSE,TRUE) is ext-real V10() V44() set
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . g) '&' (z . g) is ext-real V10() V43() V44() boolean Element of BOOLEAN
K131((y . g),(z . g)) is ext-real V10() V44() set
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
z . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
z is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,z) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
C is non empty with_non-empty_elements a_partition of x
(x,(x,y,z),C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,z,C) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,(x,y,C),(x,z,C)) is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
D is Element of x
(x,(x,y,z),C) . D is ext-real V10() V43() V44() boolean set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean set
(x,D,C) is (x,C)
g is Element of x
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . g) 'or' (z . g) is ext-real V10() V43() V44() boolean set
'not' (y . g) is ext-real V10() V43() V44() boolean set
K134(1,(y . g)) is set
'not' (z . g) is ext-real V10() V43() V44() boolean set
K134(1,(z . g)) is set
('not' (y . g)) '&' ('not' (z . g)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . g)),('not' (z . g))) is ext-real V10() V44() set
'not' (('not' (y . g)) '&' ('not' (z . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . g)) '&' ('not' (z . g)))) is set
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,C) . D) 'or' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
'not' ((x,y,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,C) . D)) is set
'not' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,z,C) . D)) is set
('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y,C) . D)),('not' ((x,z,C) . D))) is ext-real V10() V44() set
'not' (('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)))) is set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
(x,y,z) . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,C) . D) 'or' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
'not' ((x,y,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,C) . D)) is set
'not' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,z,C) . D)) is set
('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y,C) . D)),('not' ((x,z,C) . D))) is ext-real V10() V44() set
'not' (('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)))) is set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
(x,y,z) . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,C) . D) 'or' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
'not' ((x,y,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,C) . D)) is set
'not' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,z,C) . D)) is set
('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y,C) . D)),('not' ((x,z,C) . D))) is ext-real V10() V44() set
'not' (('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)))) is set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
(x,y,z) . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . g) 'or' (z . g) is ext-real V10() V43() V44() boolean set
'not' (y . g) is ext-real V10() V43() V44() boolean set
K134(1,(y . g)) is set
'not' (z . g) is ext-real V10() V43() V44() boolean set
K134(1,(z . g)) is set
('not' (y . g)) '&' ('not' (z . g)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . g)),('not' (z . g))) is ext-real V10() V44() set
'not' (('not' (y . g)) '&' ('not' (z . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . g)) '&' ('not' (z . g)))) is set
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,z,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
z . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(y . g) 'or' (z . g) is ext-real V10() V43() V44() boolean set
'not' (y . g) is ext-real V10() V43() V44() boolean set
K134(1,(y . g)) is set
'not' (z . g) is ext-real V10() V43() V44() boolean set
K134(1,(z . g)) is set
('not' (y . g)) '&' ('not' (z . g)) is ext-real V10() V43() V44() boolean set
K131(('not' (y . g)),('not' (z . g))) is ext-real V10() V44() set
'not' (('not' (y . g)) '&' ('not' (z . g))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (y . g)) '&' ('not' (z . g)))) is set
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
(x,y,C) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
((x,y,C) . D) 'or' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
'not' ((x,y,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,y,C) . D)) is set
'not' ((x,z,C) . D) is ext-real V10() V43() V44() boolean set
K134(1,((x,z,C) . D)) is set
('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)) is ext-real V10() V43() V44() boolean set
K131(('not' ((x,y,C) . D)),('not' ((x,z,C) . D))) is ext-real V10() V44() set
'not' (('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ((x,y,C) . D)) '&' ('not' ((x,z,C) . D)))) is set
FALSE 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' FALSE) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' FALSE),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' FALSE) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' FALSE) '&' ('not' FALSE))) is set
(x,(x,y,C),(x,z,C)) . D is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of x
(x,y,z) . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
{ b₁ where b₁ is Element of x : y . b₁ = TRUE } is set
{ b₁ where b₁ is Element of x : y . b₁ = FALSE } is set
{ { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } is set
{{}} is set
{ { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } \ {{}} is Element of bool { { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } }
bool { { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } is non empty set
bool x is non empty set
{ b₁ where b₁ is Element of x : S₁[b₁] } is set
{ b₁ where b₁ is Element of x : S₂[b₁] } is set
z is Element of bool x
C is Element of bool x
{z,C} is set
{z,C} \ {{}} is Element of bool {z,C}
bool {z,C} is non empty set
union ({z,C} \ {{}}) is set
D is set
g is set
D is set
g is Element of x
y . g is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of bool x
g is set
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
g is Element of bool x
bool x is non empty Element of bool (bool x)
bool (bool x) is non empty set
D is set
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty with_non-empty_elements a_partition of x
{ b₁ where b₁ is Element of x : y . b₁ = TRUE } is set
{ b₁ where b₁ is Element of x : y . b₁ = FALSE } is set
{ { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } is set
{ { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } \ {{}} is Element of bool { { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } }
bool { { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } is non empty set
bool x is non empty set
{ b₁ where b₁ is Element of x : S₁[b₁] } is set
{ b₁ where b₁ is Element of x : S₂[b₁] } is set
D is set
g is set
u is set
y . g is ext-real V10() V43() V44() boolean set
y . u is ext-real V10() V43() V44() boolean set
z is Element of bool x
u is Element of x
t is Element of x
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
c₁₁ is Element of x
y . c₁₁ is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of bool x
u is Element of x
t is Element of x
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
c₁₁ is Element of x
y . c₁₁ is ext-real V10() V43() V44() boolean Element of BOOLEAN
z is Element of bool x
C is Element of bool x
z is Element of bool x
C is Element of bool x
x is non empty set
[:x,BOOLEAN:] is non empty set
bool [:x,BOOLEAN:] is non empty set
y is non empty Relation-like x -defined BOOLEAN -valued Function-like V21(x) quasi_total boolean-valued Element of bool [:x,BOOLEAN:]
(x,y) is non empty with_non-empty_elements a_partition of x
{ b₁ where b₁ is Element of x : y . b₁ = TRUE } is set
{ b₁ where b₁ is Element of x : y . b₁ = FALSE } is set
{ { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } is set
{ { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } \ {{}} is Element of bool { { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } }
bool { { b₁ where b₁ is Element of x : y . b₁ = TRUE } , { b₁ where b₁ is Element of x : y . b₁ = FALSE } } is non empty set
z is non empty with_non-empty_elements a_partition of x
bool x is non empty set
{ b₁ where b₁ is Element of x : S₁[b₁] } is set
{ b₁ where b₁ is Element of x : S₂[b₁] } is set
g is set
the Element of g is Element of g
t is set
y . t is ext-real V10() V43() V44() boolean set
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of bool x
t is set
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of bool x
{C,D} is set
{C,D} \ {{}} is Element of bool {C,D}
bool {C,D} is non empty set
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
D is Element of bool x
t is set
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is Element of x
y . t is ext-real V10() V43() V44() boolean Element of BOOLEAN
C is Element of bool x
{C,D} is set
{C,D} \ {{}} is Element of bool {C,D}
bool {C,D} is non empty set
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
u is Element of x
y . u is ext-real V10() V43() V44() boolean Element of BOOLEAN
t is set
t is set
x is ext-real V10() V43() V44() boolean Element of BOOLEAN
y is ext-real V10() V43() V44() boolean Element of BOOLEAN
x 'nand' y is ext-real V10() V43() V44() boolean set
x '&' y is ext-real V10() V43() V44() boolean set
K131(x,y) is ext-real V10() V44() set
'not' (x '&' y) is ext-real V10() V43() V44() boolean set
K134(1,(x '&' y)) is set
x is ext-real V10() V43() V44() boolean Element of BOOLEAN
y is ext-real V10() V43() V44() boolean Element of BOOLEAN
x 'nor' y is ext-real V10() V43() V44() boolean set
x 'or' y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' x) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' x),('not' y)) is ext-real V10() V44() set
'not' (('not' x) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' x) '&' ('not' y))) is set
'not' (x 'or' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'or' y)) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x <=> y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
y => x is ext-real V10() V43() V44() boolean set
('not' y) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' ('not' y)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' x))) is set
(x => y) '&' (y => x) is ext-real V10() V43() V44() boolean set
K131((x => y),(y => x)) is ext-real V10() V44() set
x 'xor' y is ext-real V10() V43() V44() boolean set
'not' (x <=> y) is ext-real V10() V43() V44() boolean set
K134(1,(x <=> y)) is set
'not' (x 'xor' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'xor' y)) is set
z is set
C is set
x is ext-real V10() V43() V44() boolean Element of BOOLEAN
y is ext-real V10() V43() V44() boolean Element of BOOLEAN
x <=> y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
y => x is ext-real V10() V43() V44() boolean set
('not' y) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' ('not' y)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' x))) is set
(x => y) '&' (y => x) is ext-real V10() V43() V44() boolean set
K131((x => y),(y => x)) is ext-real V10() V44() set
x 'xor' y is ext-real V10() V43() V44() boolean set
'not' (x <=> y) is ext-real V10() V43() V44() boolean set
K134(1,(x <=> y)) is set
'not' (x 'xor' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'xor' y)) is set
x is ext-real V10() V43() V44() boolean set
TRUE 'nand' x is ext-real V10() V43() V44() boolean set
TRUE '&' x is ext-real V10() V43() V44() boolean set
K131(TRUE,x) is ext-real V10() V44() set
'not' (TRUE '&' x) is ext-real V10() V43() V44() boolean set
K134(1,(TRUE '&' x)) is set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
x is ext-real V10() V43() V44() boolean set
FALSE 'nand' x is ext-real V10() V43() V44() boolean set
FALSE '&' x is ext-real V10() V43() V44() boolean set
K131(FALSE,x) is ext-real V10() V44() set
'not' (FALSE '&' x) is ext-real V10() V43() V44() boolean set
K134(1,(FALSE '&' x)) is set
x is ext-real V10() V43() V44() boolean set
x 'nand' x is ext-real V10() V43() V44() boolean set
x '&' x is ext-real V10() V43() V44() boolean set
K131(x,x) is ext-real V10() V44() set
'not' (x '&' x) is ext-real V10() V43() V44() boolean set
K134(1,(x '&' x)) is set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
y is ext-real V10() V43() V44() boolean set
y 'nand' y is ext-real V10() V43() V44() boolean set
y '&' y is ext-real V10() V43() V44() boolean set
K131(y,y) is ext-real V10() V44() set
'not' (y '&' y) is ext-real V10() V43() V44() boolean set
K134(1,(y '&' y)) is set
'not' (y 'nand' y) is ext-real V10() V43() V44() boolean set
K134(1,(y 'nand' y)) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x 'nand' y is ext-real V10() V43() V44() boolean set
x '&' y is ext-real V10() V43() V44() boolean set
K131(x,y) is ext-real V10() V44() set
'not' (x '&' y) is ext-real V10() V43() V44() boolean set
K134(1,(x '&' y)) is set
'not' (x 'nand' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'nand' y)) is set
x is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
x 'nand' ('not' x) is ext-real V10() V43() V44() boolean set
x '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(x,('not' x)) is ext-real V10() V44() set
'not' (x '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(x '&' ('not' x))) is set
y is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
y 'nand' ('not' y) is ext-real V10() V43() V44() boolean set
y '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(y,('not' y)) is ext-real V10() V44() set
'not' (y '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(y '&' ('not' y))) is set
'not' (y 'nand' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(y 'nand' ('not' y))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
z is ext-real V10() V43() V44() boolean set
y '&' z is ext-real V10() V43() V44() boolean set
K131(y,z) is ext-real V10() V44() set
x 'nand' (y '&' z) is ext-real V10() V43() V44() boolean set
x '&' (y '&' z) is ext-real V10() V43() V44() boolean set
K131(x,(y '&' z)) is ext-real V10() V44() set
'not' (x '&' (y '&' z)) is ext-real V10() V43() V44() boolean set
K134(1,(x '&' (y '&' z))) is set
x '&' y is ext-real V10() V43() V44() boolean set
K131(x,y) is ext-real V10() V44() set
(x '&' y) '&' z is ext-real V10() V43() V44() boolean set
K131((x '&' y),z) is ext-real V10() V44() set
'not' ((x '&' y) '&' z) is ext-real V10() V43() V44() boolean set
K134(1,((x '&' y) '&' z)) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
z is ext-real V10() V43() V44() boolean set
y '&' z is ext-real V10() V43() V44() boolean set
K131(y,z) is ext-real V10() V44() set
x 'nand' (y '&' z) is ext-real V10() V43() V44() boolean set
x '&' (y '&' z) is ext-real V10() V43() V44() boolean set
K131(x,(y '&' z)) is ext-real V10() V44() set
'not' (x '&' (y '&' z)) is ext-real V10() V43() V44() boolean set
K134(1,(x '&' (y '&' z))) is set
x '&' y is ext-real V10() V43() V44() boolean set
K131(x,y) is ext-real V10() V44() set
(x '&' y) 'nand' z is ext-real V10() V43() V44() boolean set
(x '&' y) '&' z is ext-real V10() V43() V44() boolean set
K131((x '&' y),z) is ext-real V10() V44() set
'not' ((x '&' y) '&' z) is ext-real V10() V43() V44() boolean set
K134(1,((x '&' y) '&' z)) is set
x is ext-real V10() V43() V44() boolean set
TRUE 'nor' x is ext-real V10() V43() V44() boolean set
TRUE 'or' x is ext-real V10() V43() V44() boolean set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' TRUE) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' TRUE),('not' x)) is ext-real V10() V44() set
'not' (('not' TRUE) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' TRUE) '&' ('not' x))) is set
'not' (TRUE 'or' x) is ext-real V10() V43() V44() boolean set
K134(1,(TRUE 'or' x)) is set
x is ext-real V10() V43() V44() boolean set
FALSE 'nor' x is ext-real V10() V43() V44() boolean set
FALSE 'or' x is ext-real V10() V43() V44() boolean set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' FALSE) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' FALSE),('not' x)) is ext-real V10() V44() set
'not' (('not' FALSE) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' FALSE) '&' ('not' x))) is set
'not' (FALSE 'or' x) is ext-real V10() V43() V44() boolean set
K134(1,(FALSE 'or' x)) is set
x is ext-real V10() V43() V44() boolean set
x 'nor' x is ext-real V10() V43() V44() boolean set
x 'or' x is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' x),('not' x)) is ext-real V10() V44() set
'not' (('not' x) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' x) '&' ('not' x))) is set
'not' (x 'or' x) is ext-real V10() V43() V44() boolean set
K134(1,(x 'or' x)) is set
y is ext-real V10() V43() V44() boolean set
y 'nor' y is ext-real V10() V43() V44() boolean set
y 'or' y is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' y) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' y),('not' y)) is ext-real V10() V44() set
'not' (('not' y) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' y) '&' ('not' y))) is set
'not' (y 'or' y) is ext-real V10() V43() V44() boolean set
K134(1,(y 'or' y)) is set
'not' (y 'nor' y) is ext-real V10() V43() V44() boolean set
K134(1,(y 'nor' y)) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x 'nor' y is ext-real V10() V43() V44() boolean set
x 'or' y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' x) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' x),('not' y)) is ext-real V10() V44() set
'not' (('not' x) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' x) '&' ('not' y))) is set
'not' (x 'or' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'or' y)) is set
'not' (x 'nor' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'nor' y)) is set
x is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
x 'nor' ('not' x) is ext-real V10() V43() V44() boolean set
x 'or' ('not' x) is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
('not' x) '&' ('not' ('not' x)) is ext-real V10() V43() V44() boolean set
K131(('not' x),('not' ('not' x))) is ext-real V10() V44() set
'not' (('not' x) '&' ('not' ('not' x))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' x) '&' ('not' ('not' x)))) is set
'not' (x 'or' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(x 'or' ('not' x))) is set
y is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
y 'nor' ('not' y) is ext-real V10() V43() V44() boolean set
y 'or' ('not' y) is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' y) '&' ('not' ('not' y)) is ext-real V10() V43() V44() boolean set
K131(('not' y),('not' ('not' y))) is ext-real V10() V44() set
'not' (('not' y) '&' ('not' ('not' y))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' y) '&' ('not' ('not' y)))) is set
'not' (y 'or' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(y 'or' ('not' y))) is set
'not' (y 'nor' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(y 'nor' ('not' y))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
z is ext-real V10() V43() V44() boolean set
y 'or' z is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
'not' z is ext-real V10() V43() V44() boolean set
K134(1,z) is set
('not' y) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' y),('not' z)) is ext-real V10() V44() set
'not' (('not' y) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' y) '&' ('not' z))) is set
x 'nor' (y 'or' z) is ext-real V10() V43() V44() boolean set
x 'or' (y 'or' z) is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
'not' (y 'or' z) is ext-real V10() V43() V44() boolean set
K134(1,(y 'or' z)) is set
('not' x) '&' ('not' (y 'or' z)) is ext-real V10() V43() V44() boolean set
K131(('not' x),('not' (y 'or' z))) is ext-real V10() V44() set
'not' (('not' x) '&' ('not' (y 'or' z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' x) '&' ('not' (y 'or' z)))) is set
'not' (x 'or' (y 'or' z)) is ext-real V10() V43() V44() boolean set
K134(1,(x 'or' (y 'or' z))) is set
x 'or' y is ext-real V10() V43() V44() boolean set
('not' x) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' x),('not' y)) is ext-real V10() V44() set
'not' (('not' x) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' x) '&' ('not' y))) is set
(x 'or' y) 'or' z is ext-real V10() V43() V44() boolean set
'not' (x 'or' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'or' y)) is set
('not' (x 'or' y)) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' (x 'or' y)),('not' z)) is ext-real V10() V44() set
'not' (('not' (x 'or' y)) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' (x 'or' y)) '&' ('not' z))) is set
'not' ((x 'or' y) 'or' z) is ext-real V10() V43() V44() boolean set
K134(1,((x 'or' y) 'or' z)) is set
x is ext-real V10() V43() V44() boolean set
TRUE <=> x is ext-real V10() V43() V44() boolean set
TRUE => x is ext-real V10() V43() V44() boolean set
'not' TRUE is ext-real V10() V43() V44() boolean set
K134(1,TRUE) is set
('not' TRUE) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K134(1,('not' TRUE)) is set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' ('not' TRUE)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' TRUE)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' TRUE)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' TRUE)) '&' ('not' x))) is set
x => TRUE is ext-real V10() V43() V44() boolean set
('not' x) 'or' TRUE is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
('not' ('not' x)) '&' ('not' TRUE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' TRUE)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' TRUE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' TRUE))) is set
(TRUE => x) '&' (x => TRUE) is ext-real V10() V43() V44() boolean set
K131((TRUE => x),(x => TRUE)) is ext-real V10() V44() set
TRUE 'xor' x is ext-real V10() V43() V44() boolean set
'not' (TRUE <=> x) is ext-real V10() V43() V44() boolean set
K134(1,(TRUE <=> x)) is set
'not' (TRUE 'xor' x) is ext-real V10() V43() V44() boolean set
K134(1,(TRUE 'xor' x)) is set
x is ext-real V10() V43() V44() boolean set
FALSE <=> x is ext-real V10() V43() V44() boolean set
FALSE => x is ext-real V10() V43() V44() boolean set
'not' FALSE is ext-real V10() V43() V44() boolean set
K134(1,FALSE) is set
('not' FALSE) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K134(1,('not' FALSE)) is set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' ('not' FALSE)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' FALSE)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' FALSE)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' FALSE)) '&' ('not' x))) is set
x => FALSE is ext-real V10() V43() V44() boolean set
('not' x) 'or' FALSE is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
('not' ('not' x)) '&' ('not' FALSE) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' FALSE)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' FALSE)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' FALSE))) is set
(FALSE => x) '&' (x => FALSE) is ext-real V10() V43() V44() boolean set
K131((FALSE => x),(x => FALSE)) is ext-real V10() V44() set
FALSE 'xor' x is ext-real V10() V43() V44() boolean set
'not' (FALSE <=> x) is ext-real V10() V43() V44() boolean set
K134(1,(FALSE <=> x)) is set
'not' (FALSE 'xor' x) is ext-real V10() V43() V44() boolean set
K134(1,(FALSE 'xor' x)) is set
x is ext-real V10() V43() V44() boolean set
x <=> x is ext-real V10() V43() V44() boolean set
x => x is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
('not' ('not' x)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' x))) is set
(x => x) '&' (x => x) is ext-real V10() V43() V44() boolean set
K131((x => x),(x => x)) is ext-real V10() V44() set
x 'xor' x is ext-real V10() V43() V44() boolean set
'not' (x <=> x) is ext-real V10() V43() V44() boolean set
K134(1,(x <=> x)) is set
'not' (x 'xor' x) is ext-real V10() V43() V44() boolean set
K134(1,(x 'xor' x)) is set
y is ext-real V10() V43() V44() boolean set
y <=> y is ext-real V10() V43() V44() boolean set
y => y is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' y) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' ('not' y)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' y))) is set
(y => y) '&' (y => y) is ext-real V10() V43() V44() boolean set
K131((y => y),(y => y)) is ext-real V10() V44() set
y 'xor' y is ext-real V10() V43() V44() boolean set
'not' (y <=> y) is ext-real V10() V43() V44() boolean set
K134(1,(y <=> y)) is set
'not' (y 'xor' y) is ext-real V10() V43() V44() boolean set
K134(1,(y 'xor' y)) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x <=> y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
y => x is ext-real V10() V43() V44() boolean set
('not' y) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' ('not' y)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' x))) is set
(x => y) '&' (y => x) is ext-real V10() V43() V44() boolean set
K131((x => y),(y => x)) is ext-real V10() V44() set
x 'xor' y is ext-real V10() V43() V44() boolean set
'not' (x <=> y) is ext-real V10() V43() V44() boolean set
K134(1,(x <=> y)) is set
'not' (x 'xor' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'xor' y)) is set
x is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
x <=> ('not' x) is ext-real V10() V43() V44() boolean set
x => ('not' x) is ext-real V10() V43() V44() boolean set
('not' x) 'or' ('not' x) is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
('not' ('not' x)) '&' ('not' ('not' x)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' ('not' x))) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' ('not' x))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' ('not' x)))) is set
('not' x) => x is ext-real V10() V43() V44() boolean set
('not' ('not' x)) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ('not' x))) is set
('not' ('not' ('not' x))) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ('not' x))),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' ('not' x))) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ('not' x))) '&' ('not' x))) is set
(x => ('not' x)) '&' (('not' x) => x) is ext-real V10() V43() V44() boolean set
K131((x => ('not' x)),(('not' x) => x)) is ext-real V10() V44() set
x 'xor' ('not' x) is ext-real V10() V43() V44() boolean set
'not' (x <=> ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(x <=> ('not' x))) is set
'not' (x 'xor' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(x 'xor' ('not' x))) is set
y is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
y <=> ('not' y) is ext-real V10() V43() V44() boolean set
y => ('not' y) is ext-real V10() V43() V44() boolean set
('not' y) 'or' ('not' y) is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' ('not' y)) '&' ('not' ('not' y)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' ('not' y))) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' ('not' y))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' ('not' y)))) is set
('not' y) => y is ext-real V10() V43() V44() boolean set
('not' ('not' y)) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ('not' y))) is set
('not' ('not' ('not' y))) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ('not' y))),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' ('not' y))) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ('not' y))) '&' ('not' y))) is set
(y => ('not' y)) '&' (('not' y) => y) is ext-real V10() V43() V44() boolean set
K131((y => ('not' y)),(('not' y) => y)) is ext-real V10() V44() set
y 'xor' ('not' y) is ext-real V10() V43() V44() boolean set
'not' (y <=> ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(y <=> ('not' y))) is set
'not' (y 'xor' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(y 'xor' ('not' y))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x '&' y is ext-real V10() V43() V44() boolean set
K131(x,y) is ext-real V10() V44() set
z is ext-real V10() V43() V44() boolean set
y => z is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' y) 'or' z is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
'not' z is ext-real V10() V43() V44() boolean set
K134(1,z) is set
('not' ('not' y)) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' z)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' z))) is set
x => (y => z) is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' (y => z) is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' (y => z) is ext-real V10() V43() V44() boolean set
K134(1,(y => z)) is set
('not' ('not' x)) '&' ('not' (y => z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' (y => z))) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' (y => z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' (y => z)))) is set
(x '&' y) => z is ext-real V10() V43() V44() boolean set
'not' (x '&' y) is ext-real V10() V43() V44() boolean set
K134(1,(x '&' y)) is set
('not' (x '&' y)) 'or' z is ext-real V10() V43() V44() boolean set
'not' ('not' (x '&' y)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x '&' y))) is set
('not' ('not' (x '&' y))) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x '&' y))),('not' z)) is ext-real V10() V44() set
'not' (('not' ('not' (x '&' y))) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x '&' y))) '&' ('not' z))) is set
(x '&' y) => z is ext-real V10() V43() V44() boolean set
'not' (x '&' y) is ext-real V10() V43() V44() boolean set
K134(1,(x '&' y)) is set
('not' (x '&' y)) 'or' z is ext-real V10() V43() V44() boolean set
'not' ('not' (x '&' y)) is ext-real V10() V43() V44() boolean set
K134(1,('not' (x '&' y))) is set
('not' ('not' (x '&' y))) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' (x '&' y))),('not' z)) is ext-real V10() V44() set
'not' (('not' ('not' (x '&' y))) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' (x '&' y))) '&' ('not' z))) is set
x => (y => z) is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' (y => z) is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' (y => z) is ext-real V10() V43() V44() boolean set
K134(1,(y => z)) is set
('not' ('not' x)) '&' ('not' (y => z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' (y => z))) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' (y => z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' (y => z)))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x <=> y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
y => x is ext-real V10() V43() V44() boolean set
('not' y) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' ('not' y)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' x))) is set
(x => y) '&' (y => x) is ext-real V10() V43() V44() boolean set
K131((x => y),(y => x)) is ext-real V10() V44() set
x 'xor' y is ext-real V10() V43() V44() boolean set
'not' (x <=> y) is ext-real V10() V43() V44() boolean set
K134(1,(x <=> y)) is set
'not' (x 'xor' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'xor' y)) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
('not' y) => ('not' x) is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' ('not' y)) 'or' ('not' x) is ext-real V10() V43() V44() boolean set
'not' ('not' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ('not' y))) is set
('not' ('not' ('not' y))) '&' ('not' ('not' x)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ('not' y))),('not' ('not' x))) is ext-real V10() V44() set
'not' (('not' ('not' ('not' y))) '&' ('not' ('not' x))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ('not' y))) '&' ('not' ('not' x)))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x <=> y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
y => x is ext-real V10() V43() V44() boolean set
('not' y) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
('not' ('not' y)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' x))) is set
(x => y) '&' (y => x) is ext-real V10() V43() V44() boolean set
K131((x => y),(y => x)) is ext-real V10() V44() set
x 'xor' y is ext-real V10() V43() V44() boolean set
'not' (x <=> y) is ext-real V10() V43() V44() boolean set
K134(1,(x <=> y)) is set
'not' (x 'xor' y) is ext-real V10() V43() V44() boolean set
K134(1,(x 'xor' y)) is set
('not' x) <=> ('not' y) is ext-real V10() V43() V44() boolean set
('not' x) => ('not' y) is ext-real V10() V43() V44() boolean set
('not' ('not' x)) 'or' ('not' y) is ext-real V10() V43() V44() boolean set
'not' ('not' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ('not' x))) is set
('not' ('not' ('not' x))) '&' ('not' ('not' y)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ('not' x))),('not' ('not' y))) is ext-real V10() V44() set
'not' (('not' ('not' ('not' x))) '&' ('not' ('not' y))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ('not' x))) '&' ('not' ('not' y)))) is set
('not' y) => ('not' x) is ext-real V10() V43() V44() boolean set
('not' ('not' y)) 'or' ('not' x) is ext-real V10() V43() V44() boolean set
'not' ('not' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,('not' ('not' y))) is set
('not' ('not' ('not' y))) '&' ('not' ('not' x)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' ('not' y))),('not' ('not' x))) is ext-real V10() V44() set
'not' (('not' ('not' ('not' y))) '&' ('not' ('not' x))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' ('not' y))) '&' ('not' ('not' x)))) is set
(('not' x) => ('not' y)) '&' (('not' y) => ('not' x)) is ext-real V10() V43() V44() boolean set
K131((('not' x) => ('not' y)),(('not' y) => ('not' x))) is ext-real V10() V44() set
('not' x) 'xor' ('not' y) is ext-real V10() V43() V44() boolean set
'not' (('not' x) <=> ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' x) <=> ('not' y))) is set
'not' (('not' x) 'xor' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' x) 'xor' ('not' y))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
y => x is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' y) 'or' x is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' ('not' y)) '&' ('not' x) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' x)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' x)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' x))) is set
x is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
y is ext-real V10() V43() V44() boolean set
x => y is ext-real V10() V43() V44() boolean set
('not' x) 'or' y is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' ('not' x)) '&' ('not' y) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' y)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' y)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' y))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
z is ext-real V10() V43() V44() boolean set
y => z is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' y) 'or' z is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
'not' z is ext-real V10() V43() V44() boolean set
K134(1,z) is set
('not' ('not' y)) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' z)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' z))) is set
x => (y => z) is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' (y => z) is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' (y => z) is ext-real V10() V43() V44() boolean set
K134(1,(y => z)) is set
('not' ('not' x)) '&' ('not' (y => z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' (y => z))) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' (y => z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' (y => z)))) is set
x => z is ext-real V10() V43() V44() boolean set
('not' x) 'or' z is ext-real V10() V43() V44() boolean set
('not' ('not' x)) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' z)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' z))) is set
y => (x => z) is ext-real V10() V43() V44() boolean set
('not' y) 'or' (x => z) is ext-real V10() V43() V44() boolean set
'not' (x => z) is ext-real V10() V43() V44() boolean set
K134(1,(x => z)) is set
('not' ('not' y)) '&' ('not' (x => z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' (x => z))) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' (x => z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' (x => z)))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
z is ext-real V10() V43() V44() boolean set
y => z is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' y) 'or' z is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
'not' z is ext-real V10() V43() V44() boolean set
K134(1,z) is set
('not' ('not' y)) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' z)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' z))) is set
x => (y => z) is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' (y => z) is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' (y => z) is ext-real V10() V43() V44() boolean set
K134(1,(y => z)) is set
('not' ('not' x)) '&' ('not' (y => z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' (y => z))) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' (y => z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' (y => z)))) is set
x => z is ext-real V10() V43() V44() boolean set
('not' x) 'or' z is ext-real V10() V43() V44() boolean set
('not' ('not' x)) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' z)) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' z))) is set
x is ext-real V10() V43() V44() boolean set
y is ext-real V10() V43() V44() boolean set
z is ext-real V10() V43() V44() boolean set
y => z is ext-real V10() V43() V44() boolean set
'not' y is ext-real V10() V43() V44() boolean set
K134(1,y) is set
('not' y) 'or' z is ext-real V10() V43() V44() boolean set
'not' ('not' y) is ext-real V10() V43() V44() boolean set
K134(1,('not' y)) is set
'not' z is ext-real V10() V43() V44() boolean set
K134(1,z) is set
('not' ('not' y)) '&' ('not' z) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' y)),('not' z)) is ext-real V10() V44() set
'not' (('not' ('not' y)) '&' ('not' z)) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' y)) '&' ('not' z))) is set
x => (y => z) is ext-real V10() V43() V44() boolean set
'not' x is ext-real V10() V43() V44() boolean set
K134(1,x) is set
('not' x) 'or' (y => z) is ext-real V10() V43() V44() boolean set
'not' ('not' x) is ext-real V10() V43() V44() boolean set
K134(1,('not' x)) is set
'not' (y => z) is ext-real V10() V43() V44() boolean set
K134(1,(y => z)) is set
('not' ('not' x)) '&' ('not' (y => z)) is ext-real V10() V43() V44() boolean set
K131(('not' ('not' x)),('not' (y => z))) is ext-real V10() V44() set
'not' (('not' ('not' x)) '&' ('not' (y => z))) is ext-real V10() V43() V44() boolean set
K134(1,(('not' ('not' x)) '&' ('not' (y => z)))) is set