Step of Proof: bij_iff_1_1_corr
12,41
postcript
pdf
Inference at
*
I
of proof for Lemma
bij
iff
1
1
corr
:
A
,
B
:Type. (
f
:
A
B
. Bij(
A
;
B
;
f
))
1-1-Corresp(
A
;
B
)
latex
by ((((Unfold `one_one_corr` 0)
CollapseTHEN (GenUnivCD))
)
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:
1.
A
: Type
C1:
2.
B
: Type
C1:
3.
f
:
A
B
. Bij(
A
;
B
;
f
)
C1:
f
:
A
B
.
g
:
B
A
. InvFuns(
A
;
B
;
f
;
g
)
C
2
:
C2:
1.
A
: Type
C2:
2.
B
: Type
C2:
3.
f
:
A
B
.
g
:
B
A
. InvFuns(
A
;
B
;
f
;
g
)
C2:
f
:
A
B
. Bij(
A
;
B
;
f
)
C
.
Definitions
,
t
T
,
P
Q
,
P
Q
,
P
&
Q
,
1-1-Corresp(
A
;
B
)
,
x
:
A
.
B
(
x
)
,
P
Q
,
x
:
A
.
B
(
x
)
Lemmas
inv
funs
wf
,
biject
wf
origin