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Theorem map-del
⊦ (r => o * hP)(h) ↔ hP(h -- r) ∧ r ∈ h ∧ h(r) = o
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
linked-list
,
heap-aux
,
dlinked-list
,
separation
,
heap-fun
,
ex-maplet
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas:
maplet
,
at-eq
,
map-in
,
Used spec theorems:
heap-sep
/
sep
Used simplifier rules:
heap-sep
/
sep-ass
heap-sep
/
sep-com
heapfuns
/
del-uni
heapfuns
/
disj-singleton-write
heap
/
in-alloc
heap
/
write-del
heap
/
in-emp
heap
/
del-new
heap
/
del-notin
heapfuns
/
uni-emp-l
heap
/
nonnull
heap
/
in-del
heapfuns
/
union-left-singleton