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010154e2
Commit
010154e2
authored
Mar 15, 2017
by
Ralf Jung
Browse files
fix fractional IntoAnd instances
parent
039f9fd5
Pipeline
#4075
passed with stage
in 3 minutes and 28 seconds
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theories/base_logic/lib/fractional.v
View file @
010154e2
...
...
@@ 128,14 +128,24 @@ Section fractional.
FromSep
Q
P
P
.
Proof
.
rewrite
/
FromSep
=>[>
<]
[>
_
].
by
rewrite
Qp_div_2
.
Qed
.
Global
Instance
into_and_fractional
P
P1
P2
Φ
q1
q2
:
Global
Instance
into_and_fractional
b
P
P1
P2
Φ
q1
q2
:
AsFractional
P
Φ
(
q1
+
q2
)
→
AsFractional
P1
Φ
q1
→
AsFractional
P2
Φ
q2
→
IntoAnd
false
P
P1
P2
.
Proof
.
by
rewrite
/
IntoAnd
=>[>
>]
[>
_
]
[>
_
].
Qed
.
Global
Instance
into_and_fractional_half
P
Q
Φ
q
:
IntoAnd
b
P
P1
P2
.
Proof
.
(* TODO: We need a better way to handle this boolean here.
Ideally, it'd not even be possible to make the mistake that
was originally made here, which is to give this instance for
"false" only, thus breaking some intro patterns. *)
intros
H1
H2
H3
.
apply
mk_into_and_sep
.
revert
H1
H2
H3
.
by
rewrite
/
IntoAnd
=>[>
>]
[>
_
]
[>
_
].
Qed
.
Global
Instance
into_and_fractional_half
b
P
Q
Φ
q
:
AsFractional
P
Φ
q
→
AsFractional
Q
Φ
(
q
/
2
)
→
IntoAnd
false
P
Q
Q

100
.
Proof
.
by
rewrite
/
IntoAnd
{
1
}(
Qp_div_2
q
)=>[>>][>
_
].
Qed
.
IntoAnd
b
P
Q
Q

100
.
Proof
.
intros
H1
H2
.
apply
mk_into_and_sep
.
revert
H1
H2
.
by
rewrite
/
IntoAnd
{
1
}(
Qp_div_2
q
)=>[>>][>
_
].
Qed
.
(* The instance [frame_fractional] can be tried at all the nodes of
the proof search. The proof search then fails almost always on
...
...
Ralf Jung
@jung
mentioned in commit
c798ff4f
·
Mar 15, 2017
mentioned in commit
c798ff4f
mentioned in commit c798ff4f78cd663c2a710b0af4e7af063b35580a
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