Step of Proof: bij_iff_1_1_corr
12,41
postcript
pdf
Inference at
*
2
I
of proof for Lemma
bij
iff
1
1
corr
:
1.
A
: Type
2.
B
: Type
3.
f
:
A
B
.
g
:
B
A
. InvFuns(
A
;
B
;
f
;
g
)
f
:
A
B
. Bij(
A
;
B
;
f
)
latex
by ((((((D 3)
CollapseTHEN (D 4))
)
CollapseTHEN (With
f
(D 0)))
)
CollapseTHENA (
C
(Auto_aux (first_nat 1:n) ((first_nat 1:n),(first_nat 3:n)) (first_tok :t) inil_term)))
latex
C
1
:
C1:
3.
f
:
A
B
C1:
4.
g
:
B
A
C1:
5. InvFuns(
A
;
B
;
f
;
g
)
C1:
Bij(
A
;
B
;
f
)
C
.
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
x
:
A
.
B
(
x
)
,
Lemmas
biject
wf
origin