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PROSA - Formally Proven Schedulability Analysis
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Lasse Blaauwbroek
PROSA - Formally Proven Schedulability Analysis
Commits
2630d3b1
Commit
2630d3b1
authored
5 years ago
by
Björn Brandenburg
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do not rely on vlib 'des' tactic
parent
6eab134c
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util/bigcat.v
+3
-3
3 additions, 3 deletions
util/bigcat.v
with
3 additions
and
3 deletions
util/bigcat.v
+
3
−
3
View file @
2630d3b1
...
@@ -10,7 +10,7 @@ Section BigCatLemmas.
...
@@ -10,7 +10,7 @@ Section BigCatLemmas.
x
\
in
(
f
j
)
->
x
\
in
(
f
j
)
->
x
\
in
\
cat_
(
m
<=
i
<
n
)
(
f
i
)
.
x
\
in
\
cat_
(
m
<=
i
<
n
)
(
f
i
)
.
Proof
.
Proof
.
intros
T
x
m
n
j
f
LE
IN
;
move
:
LE
=>
/
andP
LE
;
des
.
intros
T
x
m
n
j
f
LE
IN
;
move
:
LE
=>
/
andP
[
LE
LE0
]
.
rewrite
->
big_cat_nat
with
(
n
:=
j
);
simpl
;
[|
by
ins
|
by
apply
ltnW
]
.
rewrite
->
big_cat_nat
with
(
n
:=
j
);
simpl
;
[|
by
ins
|
by
apply
ltnW
]
.
rewrite
mem_cat
;
apply
/
orP
;
right
.
rewrite
mem_cat
;
apply
/
orP
;
right
.
destruct
n
;
first
by
rewrite
ltn0
in
LE0
.
destruct
n
;
first
by
rewrite
ltn0
in
LE0
.
...
@@ -30,7 +30,7 @@ Section BigCatLemmas.
...
@@ -30,7 +30,7 @@ Section BigCatLemmas.
rewrite
big_nat_recr
//
/=
mem_cat
in
IN
.
rewrite
big_nat_recr
//
/=
mem_cat
in
IN
.
move
:
IN
=>
/
orP
[
HEAD
|
TAIL
]
.
move
:
IN
=>
/
orP
[
HEAD
|
TAIL
]
.
{
{
apply
IHn
in
HEAD
;
destruct
HEAD
;
exists
x0
;
des
.
apply
IHn
in
HEAD
;
destruct
HEAD
;
exists
x0
.
move
:
H
=>
[
H
/
andP
[
H0
H1
]]
.
split
;
first
by
done
.
split
;
first
by
done
.
by
apply
/
andP
;
split
;
[
by
done
|
by
apply
ltnW
]
.
by
apply
/
andP
;
split
;
[
by
done
|
by
apply
ltnW
]
.
}
}
...
@@ -157,4 +157,4 @@ Section BigCatLemmas.
...
@@ -157,4 +157,4 @@ Section BigCatLemmas.
by
apply
leq_sum
;
ins
;
apply
SIZE
.
by
apply
leq_sum
;
ins
;
apply
SIZE
.
Qed
.
Qed
.
End
BigCatLemmas
.
End
BigCatLemmas
.
\ No newline at end of file
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