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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
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 16
Used lemmas:
Sep-ins
,
Sep-emp
,
Used spec theorems:
map
/
exnotempty
heap-sep
/
sep
heap-sep
/
split-union
Used simplifier rules:
heap-sep
/
emp
map
/
In-insert
map
/
Size-insert
nat-basic
/
s-04
nat-basic
/
refl-Nat
nat-basic
/
a
nat-basic
/
c
map
/
k-At-same
map
/
At-in-out