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Theorem map-del
⊦ (r => o * hP)(h) ↔ hP(h -- r) ∧ r ∈ h ∧ h(r) = o ∧ r ≠ null
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
refmap-separation
,
refmap-ex-maplet
,
linked-maplist
,
dlinked-maplist
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas:
maplet
,
map-null
,
at-eq
,
map-in
,
Used spec theorems:
map-sep
/
sep
Used simplifier rules:
map-sep
/
falseH
map-sep
/
sep-com
map-sep
/
sep-ass
map-sep
/
false-sep
map-sep
/
false-rev
heapfuns-map
/
del-uni
heapfuns-map
/
disj-singleton-write
map
/
Del-rec-same
map
/
Del-empty
map
/
notin-del-notin
heapfuns-map
/
uni-emp-l
map
/
Del-in
heapfuns-map
/
union-left-singleton
map
/
eq-put2