:: SCMRINGI semantic presentation

REAL is set

NAT is V6() V7() V8() non empty Element of bool REAL

bool REAL is set

NAT is V6() V7() V8() non empty set

bool NAT is set

bool NAT is set

2 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

[:2,2:] is Relation-like set

[:[:2,2:],2:] is Relation-like set

bool [:[:2,2:],2:] is set

9 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

Segm 9 is non empty Element of bool NAT

SCM-Data-Loc is non empty set

1 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

K168(NAT,1) is non empty Element of bool NAT

[:K168(NAT,1),NAT:] is Relation-like Element of bool [:NAT,REAL:]

[:NAT,REAL:] is Relation-like set

bool [:NAT,REAL:] is set

RAT is set

{} is Relation-like non-empty empty-yielding NAT -defined RAT -valued V6() V7() V8() V10() V11() V12() Function-like one-to-one constant functional empty V24() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative complex-valued ext-real-valued real-valued natural-valued set

INT is set

3 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

Seg 1 is non empty V24() 1 -element Element of bool NAT

{ b

{1} is non empty set

Seg 2 is non empty V24() 2 -element Element of bool NAT

{ b

{1,2} is non empty set

7 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

0 is Relation-like non-empty empty-yielding NAT -defined RAT -valued V6() V7() V8() V10() V11() V12() Function-like one-to-one constant functional empty V24() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative complex-valued ext-real-valued real-valued natural-valued Element of NAT

4 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

5 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

6 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

K168(NAT,0) is functional non empty Element of bool NAT

8 is V6() V7() V8() V12() non empty ext-real positive non negative Element of NAT

Segm 8 is non empty Element of bool NAT

SCM-Instr is Relation-like non empty standard-ins homogeneous J/A-independent with_halt set

SCM-Halt is Relation-like non-empty empty-yielding NAT -defined RAT -valued V6() V7() V8() V10() V11() V12() Function-like one-to-one constant functional empty V24() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative complex-valued ext-real-valued real-valued natural-valued Element of Segm 9

[SCM-Halt,{},{}] is V21() V22() set

[SCM-Halt,{}] is V21() set

{SCM-Halt,{}} is functional non empty set

{SCM-Halt} is functional non empty set

{{SCM-Halt,{}},{SCM-Halt}} is non empty set

[[SCM-Halt,{}],{}] is V21() set

{[SCM-Halt,{}],{}} is non empty set

{[SCM-Halt,{}]} is Relation-like Function-like non empty set

{{[SCM-Halt,{}],{}},{[SCM-Halt,{}]}} is non empty set

{[SCM-Halt,{},{}]} is Relation-like non empty standard-ins homogeneous J/A-independent with_halt set

{ [b

{[SCM-Halt,{},{}]} \/ { [b

K169(NAT,7,8) is non empty Element of bool NAT

{ [b

({[SCM-Halt,{},{}]} \/ { [b

K172(NAT,1,2,3,4,5) is Element of bool NAT

{ [b

(({[SCM-Halt,{},{}]} \/ { [b

the Element of SCM-Data-Loc is Element of SCM-Data-Loc

{1,2,3,4,5} is set

<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

<* the Element of SCM-Data-Loc *> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1, the Element of SCM-Data-Loc ] is V21() set

{1, the Element of SCM-Data-Loc } is non empty set

{{1, the Element of SCM-Data-Loc },{1}} is non empty set

{[1, the Element of SCM-Data-Loc ]} is Relation-like Function-like non empty set

K75(<* the Element of SCM-Data-Loc *>,<* the Element of SCM-Data-Loc *>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

K313(1,1) is V6() V7() V8() V12() ext-real Element of NAT

[1,{},<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>] is V21() V22() set

[1,{}] is V21() set

{1,{}} is non empty set

{{1,{}},{1}} is non empty set

[[1,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>] is V21() set

{[1,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>} is non empty set

{[1,{}]} is Relation-like Function-like non empty set

{{[1,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>},{[1,{}]}} is non empty set

{ [b

[2,{},<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>] is V21() V22() set

[2,{}] is V21() set

{2,{}} is non empty set

{2} is non empty set

{{2,{}},{2}} is non empty set

[[2,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>] is V21() set

{[2,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>} is non empty set

{[2,{}]} is Relation-like Function-like non empty set

{{[2,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>},{[2,{}]}} is non empty set

[0,{},{}] is V21() V22() set

[0,{}] is V21() set

{0,{}} is functional non empty set

{0} is functional non empty set

{{0,{}},{0}} is non empty set

[[0,{}],{}] is V21() set

{[0,{}],{}} is non empty set

{[0,{}]} is Relation-like Function-like non empty set

{{[0,{}],{}},{[0,{}]}} is non empty set

{[0,{},{}]} is Relation-like non empty standard-ins homogeneous J/A-independent with_halt set

{1,2,3,4} is set

{ [b

{[0,{},{}]} \/ { [b

{ [6,<*b

({[0,{},{}]} \/ { [b

{ [7,<*b

(({[0,{},{}]} \/ { [b

S is non empty 1-sorted

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

S is non empty 1-sorted

(S) is non empty set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

the Element of SCM-Data-Loc is Element of SCM-Data-Loc

{ [7,<*b

(({[0,{},{}]} \/ { [b

{ [6,<*b

({[0,{},{}]} \/ { [b

{[0,{},{}]} \/ ( { [6,<*b

{ [b

<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

<* the Element of SCM-Data-Loc *> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1, the Element of SCM-Data-Loc ] is V21() set

{1, the Element of SCM-Data-Loc } is non empty set

{{1, the Element of SCM-Data-Loc },{1}} is non empty set

{[1, the Element of SCM-Data-Loc ]} is Relation-like Function-like non empty set

K75(<* the Element of SCM-Data-Loc *>,<* the Element of SCM-Data-Loc *>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

K313(1,1) is V6() V7() V8() V12() ext-real Element of NAT

[2,{},<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>] is V21() V22() set

[2,{}] is V21() set

{2,{}} is non empty set

{2} is non empty set

{{2,{}},{2}} is non empty set

[[2,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>] is V21() set

{[2,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>} is non empty set

{[2,{}]} is Relation-like Function-like non empty set

{{[2,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>},{[2,{}]}} is non empty set

[1,{},<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>] is V21() V22() set

[1,{}] is V21() set

{1,{}} is non empty set

{{1,{}},{1}} is non empty set

[[1,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>] is V21() set

{[1,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>} is non empty set

{[1,{}]} is Relation-like Function-like non empty set

{{[1,{}],<* the Element of SCM-Data-Loc , the Element of SCM-Data-Loc *>},{[1,{}]}} is non empty set

S is non empty 1-sorted

(S) is non empty non trivial set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

d1 is Element of (S)

I1 is Element of Segm 8

i1 is Element of SCM-Data-Loc

D1 is Element of SCM-Data-Loc

<*i1,D1*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

<*i1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

<*D1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

K75(<*i1*>,<*D1*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

K313(1,1) is V6() V7() V8() V12() ext-real Element of NAT

[I1,{},<*i1,D1*>] is V21() V22() set

[I1,{}] is V21() set

{I1,{}} is non empty set

{I1} is non empty set

{{I1,{}},{I1}} is non empty set

[[I1,{}],<*i1,D1*>] is V21() set

{[I1,{}],<*i1,D1*>} is non empty set

{[I1,{}]} is Relation-like Function-like non empty set

{{[I1,{}],<*i1,D1*>},{[I1,{}]}} is non empty set

d1 `3_3 is set

<*i1,D1*> /. 1 is Element of SCM-Data-Loc

i1 is Relation-like NAT -defined SCM-Data-Loc -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

D2 is Element of SCM-Data-Loc

i1 /. 1 is Element of SCM-Data-Loc

a is Relation-like NAT -defined SCM-Data-Loc -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

x is Element of SCM-Data-Loc

a /. 1 is Element of SCM-Data-Loc

<*i1,D1*> /. 2 is Element of SCM-Data-Loc

i1 is Relation-like NAT -defined SCM-Data-Loc -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

D2 is Element of SCM-Data-Loc

i1 /. 2 is Element of SCM-Data-Loc

a is Relation-like NAT -defined SCM-Data-Loc -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

x is Element of SCM-Data-Loc

a /. 2 is Element of SCM-Data-Loc

S is Element of Segm 8

d1 is non empty 1-sorted

(d1) is non empty non trivial set

the carrier of d1 is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

i1 is Element of (d1)

(d1,i1) is Element of SCM-Data-Loc

(d1,i1) is Element of SCM-Data-Loc

D1 is Element of SCM-Data-Loc

I1 is Element of SCM-Data-Loc

<*D1,I1*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

<*D1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

<*I1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

K75(<*D1*>,<*I1*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[S,{},<*D1,I1*>] is V21() V22() set

[S,{}] is V21() set

{S,{}} is non empty set

{S} is non empty set

{{S,{}},{S}} is non empty set

[[S,{}],<*D1,I1*>] is V21() set

{[S,{}],<*D1,I1*>} is non empty set

{[S,{}]} is Relation-like Function-like non empty set

{{[S,{}],<*D1,I1*>},{[S,{}]}} is non empty set

i1 `3_3 is set

D2 is Relation-like NAT -defined SCM-Data-Loc -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

D2 /. 1 is Element of SCM-Data-Loc

x is Relation-like NAT -defined SCM-Data-Loc -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

x /. 2 is Element of SCM-Data-Loc

S is non empty 1-sorted

(S) is non empty non trivial set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

d1 is Element of (S)

D1 is Element of Segm 8

i1 is V6() V7() V8() V12() ext-real Element of NAT

<*i1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

[D1,<*i1*>,{}] is V21() V22() set

[D1,<*i1*>] is V21() set

{D1,<*i1*>} is non empty set

{D1} is non empty set

{{D1,<*i1*>},{D1}} is non empty set

[[D1,<*i1*>],{}] is V21() set

{[D1,<*i1*>],{}} is non empty set

{[D1,<*i1*>]} is Relation-like Function-like non empty set

{{[D1,<*i1*>],{}},{[D1,<*i1*>]}} is non empty set

d1 `2_3 is set

K41(d1) is set

K41(d1) `3_3 is set

<*i1*> /. 1 is V6() V7() V8() V12() ext-real Element of NAT

x is Relation-like NAT -defined NAT -valued Function-like V24() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

I1 is V6() V7() V8() V12() ext-real Element of NAT

x /. 1 is V6() V7() V8() V12() ext-real Element of NAT

i1 is Relation-like NAT -defined NAT -valued Function-like V24() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

D2 is V6() V7() V8() V12() ext-real Element of NAT

i1 /. 1 is V6() V7() V8() V12() ext-real Element of NAT

S is Element of Segm 8

d1 is non empty 1-sorted

(d1) is non empty non trivial set

the carrier of d1 is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

i1 is Element of (d1)

(d1,i1) is V6() V7() V8() V12() ext-real Element of NAT

D1 is V6() V7() V8() V12() ext-real Element of NAT

<*D1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

[S,<*D1*>,{}] is V21() V22() set

[S,<*D1*>] is V21() set

{S,<*D1*>} is non empty set

{S} is non empty set

{{S,<*D1*>},{S}} is non empty set

[[S,<*D1*>],{}] is V21() set

{[S,<*D1*>],{}} is non empty set

{[S,<*D1*>]} is Relation-like Function-like non empty set

{{[S,<*D1*>],{}},{[S,<*D1*>]}} is non empty set

i1 `2_3 is set

K41(i1) is set

K41(i1) `3_3 is set

I1 is Relation-like NAT -defined NAT -valued Function-like V24() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

I1 /. 1 is V6() V7() V8() V12() ext-real Element of NAT

S is non empty 1-sorted

(S) is non empty non trivial set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

d1 is Element of (S)

I1 is Element of Segm 8

i1 is V6() V7() V8() V12() ext-real Element of NAT

<*i1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

D1 is Element of SCM-Data-Loc

<*D1*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

[I1,<*i1*>,<*D1*>] is V21() V22() set

[I1,<*i1*>] is V21() set

{I1,<*i1*>} is non empty set

{I1} is non empty set

{{I1,<*i1*>},{I1}} is non empty set

[[I1,<*i1*>],<*D1*>] is V21() set

{[I1,<*i1*>],<*D1*>} is non empty set

{[I1,<*i1*>]} is Relation-like Function-like non empty set

{{[I1,<*i1*>],<*D1*>},{[I1,<*i1*>]}} is non empty set

d1 `2_3 is set

K41(d1) is set

K41(d1) `3_3 is set

<*i1*> /. 1 is V6() V7() V8() V12() ext-real Element of NAT

i1 is V6() V7() V8() V12() ext-real Element of NAT

<*i1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

D2 is V6() V7() V8() V12() ext-real Element of NAT

<*i1*> /. 1 is V6() V7() V8() V12() ext-real Element of NAT

a is V6() V7() V8() V12() ext-real Element of NAT

<*a*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,a] is V21() set

{1,a} is non empty set

{{1,a},{1}} is non empty set

{[1,a]} is Relation-like Function-like non empty set

x is V6() V7() V8() V12() ext-real Element of NAT

<*a*> /. 1 is V6() V7() V8() V12() ext-real Element of NAT

d1 `3_3 is set

<*D1*> /. 1 is Element of SCM-Data-Loc

i1 is Element of SCM-Data-Loc

<*i1*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

D2 is Element of SCM-Data-Loc

<*i1*> /. 1 is Element of SCM-Data-Loc

a is Element of SCM-Data-Loc

<*a*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

[1,a] is V21() set

{1,a} is non empty set

{{1,a},{1}} is non empty set

{[1,a]} is Relation-like Function-like non empty set

x is Element of SCM-Data-Loc

<*a*> /. 1 is Element of SCM-Data-Loc

S is Element of Segm 8

d1 is non empty 1-sorted

(d1) is non empty non trivial set

the carrier of d1 is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

i1 is Element of (d1)

(d1,i1) is V6() V7() V8() V12() ext-real Element of NAT

(d1,i1) is Element of SCM-Data-Loc

D1 is V6() V7() V8() V12() ext-real Element of NAT

<*D1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

I1 is Element of SCM-Data-Loc

<*I1*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

[S,<*D1*>,<*I1*>] is V21() V22() set

[S,<*D1*>] is V21() set

{S,<*D1*>} is non empty set

{S} is non empty set

{{S,<*D1*>},{S}} is non empty set

[[S,<*D1*>],<*I1*>] is V21() set

{[S,<*D1*>],<*I1*>} is non empty set

{[S,<*D1*>]} is Relation-like Function-like non empty set

{{[S,<*D1*>],<*I1*>},{[S,<*D1*>]}} is non empty set

i1 `2_3 is set

K41(i1) is set

K41(i1) `3_3 is set

D2 is V6() V7() V8() V12() ext-real Element of NAT

<*D2*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,D2] is V21() set

{1,D2} is non empty set

{{1,D2},{1}} is non empty set

{[1,D2]} is Relation-like Function-like non empty set

<*D2*> /. 1 is V6() V7() V8() V12() ext-real Element of NAT

i1 `3_3 is set

x is Element of SCM-Data-Loc

<*x*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

[1,x] is V21() set

{1,x} is non empty set

{{1,x},{1}} is non empty set

{[1,x]} is Relation-like Function-like non empty set

<*x*> /. 1 is Element of SCM-Data-Loc

S is non empty 1-sorted

the carrier of S is non empty set

d1 is Element of SCM-Data-Loc

i1 is Element of the carrier of S

<*d1,i1*> is Relation-like NAT -defined Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like set

<*d1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,d1] is V21() set

{1,d1} is non empty set

{{1,d1},{1}} is non empty set

{[1,d1]} is Relation-like Function-like non empty set

<*i1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

K75(<*d1*>,<*i1*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

SCM-Data-Loc \/ the carrier of S is non empty set

D1 is set

proj2 <*d1,i1*> is non empty set

dom <*d1,i1*> is non empty Element of bool NAT

I1 is set

<*d1,i1*> . I1 is set

S is non empty 1-sorted

(S) is non empty non trivial set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

d1 is Element of (S)

I1 is Element of Segm 8

i1 is Element of SCM-Data-Loc

D1 is Element of the carrier of S

(S,i1,D1) is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of S -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of S

SCM-Data-Loc \/ the carrier of S is non empty set

<*i1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

<*D1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

K75(<*i1*>,<*D1*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[I1,{},(S,i1,D1)] is V21() V22() set

[I1,{}] is V21() set

{I1,{}} is non empty set

{I1} is non empty set

{{I1,{}},{I1}} is non empty set

[[I1,{}],(S,i1,D1)] is V21() set

{[I1,{}],(S,i1,D1)} is non empty set

{[I1,{}]} is Relation-like Function-like non empty set

{{[I1,{}],(S,i1,D1)},{[I1,{}]}} is non empty set

d1 `3_3 is set

(S,i1,D1) /. 1 is Element of SCM-Data-Loc \/ the carrier of S

i1 is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of S -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of S

D2 is Element of SCM-Data-Loc

i1 /. 1 is Element of SCM-Data-Loc \/ the carrier of S

a is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of S -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of S

x is Element of SCM-Data-Loc

a /. 1 is Element of SCM-Data-Loc \/ the carrier of S

(S,i1,D1) /. 2 is Element of SCM-Data-Loc \/ the carrier of S

i1 is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of S -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of S

D2 is Element of the carrier of S

i1 /. 2 is Element of SCM-Data-Loc \/ the carrier of S

a is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of S -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of S

x is Element of the carrier of S

a /. 2 is Element of SCM-Data-Loc \/ the carrier of S

S is Element of Segm 8

d1 is non empty 1-sorted

(d1) is non empty non trivial set

the carrier of d1 is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

i1 is Element of (d1)

(d1,i1) is Element of SCM-Data-Loc

(d1,i1) is Element of the carrier of d1

D1 is Element of SCM-Data-Loc

I1 is Element of the carrier of d1

(d1,D1,I1) is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of d1 -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of d1

SCM-Data-Loc \/ the carrier of d1 is non empty set

<*D1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

<*I1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

K75(<*D1*>,<*I1*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[S,{},(d1,D1,I1)] is V21() V22() set

[S,{}] is V21() set

{S,{}} is non empty set

{S} is non empty set

{{S,{}},{S}} is non empty set

[[S,{}],(d1,D1,I1)] is V21() set

{[S,{}],(d1,D1,I1)} is non empty set

{[S,{}]} is Relation-like Function-like non empty set

{{[S,{}],(d1,D1,I1)},{[S,{}]}} is non empty set

i1 `3_3 is set

D2 is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of d1 -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of d1

D2 /. 1 is Element of SCM-Data-Loc \/ the carrier of d1

x is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of d1 -valued Function-like V24() FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of d1

x /. 2 is Element of SCM-Data-Loc \/ the carrier of d1

NAT * is functional non empty FinSequence-membered set

S is non empty 1-sorted

(S) is non empty non trivial set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

proj2 (S) is set

[:NAT,(NAT *),(proj2 (S)):] is set

i1 is set

D1 is Element of Segm 8

I1 is Element of SCM-Data-Loc

D2 is Element of SCM-Data-Loc

<*I1,D2*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

<*I1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

<*D2*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D2] is V21() set

{1,D2} is non empty set

{{1,D2},{1}} is non empty set

{[1,D2]} is Relation-like Function-like non empty set

K75(<*I1*>,<*D2*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[D1,{},<*I1,D2*>] is V21() V22() set

[D1,{}] is V21() set

{D1,{}} is non empty set

{D1} is non empty set

{{D1,{}},{D1}} is non empty set

[[D1,{}],<*I1,D2*>] is V21() set

{[D1,{}],<*I1,D2*>} is non empty set

{[D1,{}]} is Relation-like Function-like non empty set

{{[D1,{}],<*I1,D2*>},{[D1,{}]}} is non empty set

D1 is V6() V7() V8() V12() ext-real Element of NAT

<*D1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

[6,<*D1*>,{}] is V21() V22() set

[6,<*D1*>] is V21() set

{6,<*D1*>} is non empty set

{6} is non empty set

{{6,<*D1*>},{6}} is non empty set

[[6,<*D1*>],{}] is V21() set

{[6,<*D1*>],{}} is non empty set

{[6,<*D1*>]} is Relation-like Function-like non empty set

{{[6,<*D1*>],{}},{[6,<*D1*>]}} is non empty set

D1 is V6() V7() V8() V12() ext-real Element of NAT

<*D1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

I1 is Element of SCM-Data-Loc

<*I1*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

[7,<*D1*>,<*I1*>] is V21() V22() set

[7,<*D1*>] is V21() set

{7,<*D1*>} is non empty set

{7} is non empty set

{{7,<*D1*>},{7}} is non empty set

[[7,<*D1*>],<*I1*>] is V21() set

{[7,<*D1*>],<*I1*>} is non empty set

{[7,<*D1*>]} is Relation-like Function-like non empty set

{{[7,<*D1*>],<*I1*>},{[7,<*D1*>]}} is non empty set

{ [5,{},(S,b

D1 is Element of SCM-Data-Loc

I1 is Element of the carrier of S

(S,D1,I1) is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of S -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of S

SCM-Data-Loc \/ the carrier of S is non empty set

<*D1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

<*I1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

K75(<*D1*>,<*I1*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[5,{},(S,D1,I1)] is V21() V22() set

[5,{}] is V21() set

{5,{}} is non empty set

{5} is non empty set

{{5,{}},{5}} is non empty set

[[5,{}],(S,D1,I1)] is V21() set

{[5,{}],(S,D1,I1)} is non empty set

{[5,{}]} is Relation-like Function-like non empty set

{{[5,{}],(S,D1,I1)},{[5,{}]}} is non empty set

{ [5,{},(S,b

S is non empty 1-sorted

(S) is non empty non trivial set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

proj2 (S) is set

d1 is set

i1 is set

[i1,d1] is V21() set

{i1,d1} is non empty set

{i1} is non empty set

{{i1,d1},{i1}} is non empty set

I1 is Element of Segm 8

D2 is Element of SCM-Data-Loc

x is Element of SCM-Data-Loc

<*D2,x*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

<*D2*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D2] is V21() set

{1,D2} is non empty set

{{1,D2},{1}} is non empty set

{[1,D2]} is Relation-like Function-like non empty set

<*x*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,x] is V21() set

{1,x} is non empty set

{{1,x},{1}} is non empty set

{[1,x]} is Relation-like Function-like non empty set

K75(<*D2*>,<*x*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[I1,{},<*D2,x*>] is V21() V22() set

[I1,{}] is V21() set

{I1,{}} is non empty set

{I1} is non empty set

{{I1,{}},{I1}} is non empty set

[[I1,{}],<*D2,x*>] is V21() set

{[I1,{}],<*D2,x*>} is non empty set

{[I1,{}]} is Relation-like Function-like non empty set

{{[I1,{}],<*D2,x*>},{[I1,{}]}} is non empty set

I1 is V6() V7() V8() V12() ext-real Element of NAT

<*I1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

[6,<*I1*>,{}] is V21() V22() set

[6,<*I1*>] is V21() set

{6,<*I1*>} is non empty set

{6} is non empty set

{{6,<*I1*>},{6}} is non empty set

[[6,<*I1*>],{}] is V21() set

{[6,<*I1*>],{}} is non empty set

{[6,<*I1*>]} is Relation-like Function-like non empty set

{{[6,<*I1*>],{}},{[6,<*I1*>]}} is non empty set

I1 is V6() V7() V8() V12() ext-real Element of NAT

<*I1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

D2 is Element of SCM-Data-Loc

<*D2*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

[1,D2] is V21() set

{1,D2} is non empty set

{{1,D2},{1}} is non empty set

{[1,D2]} is Relation-like Function-like non empty set

[7,<*I1*>,<*D2*>] is V21() V22() set

[7,<*I1*>] is V21() set

{7,<*I1*>} is non empty set

{7} is non empty set

{{7,<*I1*>},{7}} is non empty set

[[7,<*I1*>],<*D2*>] is V21() set

{[7,<*I1*>],<*D2*>} is non empty set

{[7,<*I1*>]} is Relation-like Function-like non empty set

{{[7,<*I1*>],<*D2*>},{[7,<*I1*>]}} is non empty set

{ [5,{},(S,b

I1 is Element of SCM-Data-Loc

D2 is Element of the carrier of S

(S,I1,D2) is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of S -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of S

SCM-Data-Loc \/ the carrier of S is non empty set

<*I1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

<*D2*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D2] is V21() set

{1,D2} is non empty set

{{1,D2},{1}} is non empty set

{[1,D2]} is Relation-like Function-like non empty set

K75(<*I1*>,<*D2*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[5,{},(S,I1,D2)] is V21() V22() set

[5,{}] is V21() set

{5,{}} is non empty set

{5} is non empty set

{{5,{}},{5}} is non empty set

[[5,{}],(S,I1,D2)] is V21() set

{[5,{}],(S,I1,D2)} is non empty set

{[5,{}]} is Relation-like Function-like non empty set

{{[5,{}],(S,I1,D2)},{[5,{}]}} is non empty set

{ [5,{},(S,b

S is non empty 1-sorted

(S) is non empty non trivial set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

S is non empty 1-sorted

(S) is non empty non trivial set

the carrier of S is non empty set

{ [5,{},<*b

((({[0,{},{}]} \/ { [b

{ [5,{},(S,b

d1 is Element of (S)

d1 `1_3 is set

K41(d1) is set

K41(K41(d1)) is set

i1 is Element of Segm 8

D1 is Element of SCM-Data-Loc

I1 is Element of SCM-Data-Loc

<*D1,I1*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

<*D1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

<*I1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,I1] is V21() set

{1,I1} is non empty set

{{1,I1},{1}} is non empty set

{[1,I1]} is Relation-like Function-like non empty set

K75(<*D1*>,<*I1*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[i1,{},<*D1,I1*>] is V21() V22() set

[i1,{}] is V21() set

{i1,{}} is non empty set

{i1} is non empty set

{{i1,{}},{i1}} is non empty set

[[i1,{}],<*D1,I1*>] is V21() set

{[i1,{}],<*D1,I1*>} is non empty set

{[i1,{}]} is Relation-like Function-like non empty set

{{[i1,{}],<*D1,I1*>},{[i1,{}]}} is non empty set

i1 is V6() V7() V8() V12() ext-real Element of NAT

<*i1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

[6,<*i1*>,{}] is V21() V22() set

[6,<*i1*>] is V21() set

{6,<*i1*>} is non empty set

{6} is non empty set

{{6,<*i1*>},{6}} is non empty set

[[6,<*i1*>],{}] is V21() set

{[6,<*i1*>],{}} is non empty set

{[6,<*i1*>]} is Relation-like Function-like non empty set

{{[6,<*i1*>],{}},{[6,<*i1*>]}} is non empty set

i1 is V6() V7() V8() V12() ext-real Element of NAT

<*i1*> is Relation-like NAT -defined NAT -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued natural-valued FinSequence of NAT

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

D1 is Element of SCM-Data-Loc

<*D1*> is Relation-like NAT -defined SCM-Data-Loc -valued Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

[7,<*i1*>,<*D1*>] is V21() V22() set

[7,<*i1*>] is V21() set

{7,<*i1*>} is non empty set

{7} is non empty set

{{7,<*i1*>},{7}} is non empty set

[[7,<*i1*>],<*D1*>] is V21() set

{[7,<*i1*>],<*D1*>} is non empty set

{[7,<*i1*>]} is Relation-like Function-like non empty set

{{[7,<*i1*>],<*D1*>},{[7,<*i1*>]}} is non empty set

i1 is Element of SCM-Data-Loc

D1 is Element of the carrier of S

(S,i1,D1) is Relation-like NAT -defined SCM-Data-Loc \/ the carrier of S -valued Function-like non empty V24() 2 -element FinSequence-like FinSubsequence-like FinSequence of SCM-Data-Loc \/ the carrier of S

SCM-Data-Loc \/ the carrier of S is non empty set

<*i1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,i1] is V21() set

{1,i1} is non empty set

{{1,i1},{1}} is non empty set

{[1,i1]} is Relation-like Function-like non empty set

<*D1*> is Relation-like NAT -defined Function-like non empty V24() 1 -element FinSequence-like FinSubsequence-like set

[1,D1] is V21() set

{1,D1} is non empty set

{{1,D1},{1}} is non empty set

{[1,D1]} is Relation-like Function-like non empty set

K75(<*i1*>,<*D1*>) is Relation-like NAT -defined Function-like non empty V24() K313(1,1) -element FinSequence-like FinSubsequence-like set

[5,{},(S,i1,D1)] is V21() V22() set

[5,{}] is V21() set

{5,{}} is non empty set

{5} is non empty set

{{5,{}},{5}} is non empty set

[[5,{}],(S,i1,D1)] is V21() set

{[5,{}],(S,i1,D1)} is non empty set

{[5,{}]} is Relation-like Function-like non empty set

{{[5,{}],(S,i1,D1)},{[5,{}]}} is non empty set

the non empty trivial V47() 1 -element right_complementable strict V92() V93() V94() V102() V103() V105() V107() V110() V111() doubleLoopStr is non empty trivial V47() 1 -element right_complementable strict V92() V93() V94() V102() V103() V105() V107() V110() V111() doubleLoopStr

S is non empty