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Definitions
relation
autom
Sections
AutomataTheory
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At:
one
one
corr
tran
1
1
1.
A:
Type
2.
B:
Type
3.
C:
Type
4.
f1:
A
B
5.
g1:
B
A
6.
InvFuns(A; B; f1; g1)
7.
f:
B
C
8.
g:
C
B
9.
InvFuns(B; C; f; g)
InvFuns(A; C; f o f1; g1 o g)
By:
Unfold `inv_funs` 0
THEN
Unfold `inv_funs` 9
THEN
Unfold `inv_funs` 6
THEN
ExRepD
Generated subgoal:
1
6.
g1 o f1 = Id
7.
f1 o g1 = Id
8.
f:
B
C
9.
g:
C
B
10.
g o f = Id
11.
f o g = Id
g1 o g o f o f1 = Id & f o f1 o g1 o g = Id
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