Nuprl Lemma : bilinear_comm_elim
13,42
postcript
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T
:Type,
pl
,
tm
:(
T
T
T
).
Comm(
T
;
tm
)
(
a
,
x
,
y
:
T
. (
a
tm
(
x
pl
y
)) = ((
a
tm
x
)
pl
(
a
tm
y
))
T
)
BiLinear(
T
;
pl
;
tm
)
latex
Up
gen
algebra
1
Definitions of Statement
Comm(
T
;
op
)
,
BiLinear(
T
;
pl
;
tm
)
Definitions
,
t
T
,
P
&
Q
,
BiLinear(
T
;
pl
;
tm
)
,
x
f
y
,
Comm(
T
;
op
)
,
P
Q
,
x
:
A
.
B
(
x
)
,
P
Q
,
P
Q
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