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Theorem mapex-new
¬ r ∈ h, r ≠ null ⊦ hP(h) ↔ ((r =>_ * hP))(h ++ r)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
mapex-new-rw
,
Used by units in proved state:
heap-fun
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 18
Proof steps: 32
Used lemmas:
maplet
,
ex3-shift
,
mapex
,
Used spec theorems:
heap-sep
/
sep
heap
/
ext
heap
/
at-uni
heap
/
in-uni
heap
/
at-alloc
Used simplifier rules:
heap-sep
/
sep-com
heap-sep
/
sep-ass
heap
/
disj-singleton-write
heap
/
in-alloc
heap
/
in-emp
heap
/
in-write
heap
/
in-uni
heap
/
at-write
heap
/
at-alloc
heap
/
at-uni
heap
/
nonnull