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Iris
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1735272a
Commit
1735272a
authored
Aug 22, 2019
by
Dan Frumin
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Add `head_prim_fill_reducible_no_obs`
parent
0c4e2984
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theories/program_logic/ectx_language.v
theories/program_logic/ectx_language.v
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theories/program_logic/ectx_language.v
View file @
1735272a
...
...
@@ -163,6 +163,11 @@ Section ectx_language.
intros
(
κ
&
e'
&
σ
'
&
efs
&?).
exists
κ
,
(
fill
K
e'
),
σ
'
,
efs
.
by
apply
fill_prim_step
.
Qed
.
Lemma
fill_reducible_no_obs
K
e
σ
:
reducible_no_obs
e
σ
→
reducible_no_obs
(
fill
K
e
)
σ
.
Proof
.
intros
(
e'
&
σ
'
&
efs
&?).
exists
(
fill
K
e'
),
σ
'
,
efs
.
by
apply
fill_prim_step
.
Qed
.
Lemma
head_prim_reducible
e
σ
:
head_reducible
e
σ
→
reducible
e
σ
.
Proof
.
intros
(
κ
&
e'
&
σ
'
&
efs
&?).
eexists
κ
,
e'
,
σ
'
,
efs
.
by
apply
head_prim_step
.
Qed
.
Lemma
head_prim_fill_reducible
e
K
σ
:
...
...
@@ -174,6 +179,9 @@ Section ectx_language.
Proof
.
rewrite
-
not_reducible
-
not_head_reducible
.
eauto
using
head_prim_reducible
.
Qed
.
Lemma
head_prim_fill_reducible_no_obs
e
K
σ
:
head_reducible_no_obs
e
σ
→
reducible_no_obs
(
fill
K
e
)
σ
.
Proof
.
intro
.
by
apply
fill_reducible_no_obs
,
head_prim_reducible_no_obs
.
Qed
.
Lemma
prim_head_reducible
e
σ
:
reducible
e
σ
→
sub_redexes_are_values
e
→
head_reducible
e
σ
.
...
...
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