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Theorem Sep-forall
∀ a, H. a ∈ st ∧ adP0(a, st[a])(H) → adP(a, st[a])(H) ⊦ (adP0 ⊗_ st)(H) → (adP ⊗_ st)(H)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Sep-eq
,
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 15
Used lemmas:
Sep-ins
,
Sep-emp
,
Used spec theorems:
store
/
exnotempty
heap-sep
/
sep
heap-sep
/
split-union
Used simplifier rules:
store
/
insin
store
/
At-same
store
/
At-in-out
store
/
In-insert
store
/
Size-insert
nat-basic2
/
s
nat-basic1
/
ref-1
nat-basic2
/
a
nat-basic2
/
c
heap-sep
/
emp