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