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!73
add unfolding lemma for bool_decide: bool_decide_decide
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add unfolding lemma for bool_decide: bool_decide_decide
ralf/bool_decide
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Ralf Jung
requested to merge
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master
5 years ago
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@@ -91,6 +91,10 @@ Definition bool_decide (P : Prop) {dec : Decision P} : bool :=
Lemma
bool_decide_reflect
P
`{
dec
:
Decision
P
}
:
reflect
P
(
bool_decide
P
)
.
Proof
.
unfold
bool_decide
.
destruct
dec
;
[
left
|
right
];
assumption
.
Qed
.
Lemma
bool_decide_decide
P
`{
!
Decision
P
}
:
bool_decide
P
=
if
decide
P
then
true
else
false
.
Proof
.
reflexivity
.
Qed
.
Tactic
Notation
"case_bool_decide"
"as"
ident
(
Hd
)
:=
match
goal
with
|
H
:
context
[
@
bool_decide
?P
?dec
]
|
-
_
=>
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