Step of Proof: all_quot_elim
12,41
postcript
pdf
Inference at
*
1
2
1
1
1
I
of proof for Lemma
all
quot
elim
:
1.
T
: Type
2.
E
:
T
T
3. EquivRel(
T
;
x
,
y
.
E
(
x
,
y
))
4.
F
: (
x
,
y
:
T
//(
E
(
x
,
y
)))
5.
w
:(
x
,
y
:
T
//(
E
(
x
,
y
))). (
(
F
(
w
)))
(
F
(
w
))
6.
z
:
T
.
F
(
z
)
7.
a
:
T
8.
b
:
T
9.
E
(
a
,
b
)
Ax = Ax
latex
by SquashEqTypeCD
latex
1
:
1:
F
(
a
)
.
Definitions
t
T
,
True
,
T
origin