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Theorem And-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:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 11
Used lemmas:
And-ins
,
And-emp
,
Used spec theorems:
store
/
exnotempty
Used simplifier rules:
store
/
At-in-out
store
/
In-insert
store
/
Size-insert
nat-basic2
/
s
nat-basic1
/
ref-1
nat-basic2
/
a
nat-basic2
/
c
store
/
At-same
store
/
insin
heap-sep
/
and-com
heap-sep
/
and-ass
heap-sep
/
and
heap-sep
/
trueH