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Theorem map-del-01
⊦ ((r ==>(o, a) * hR))(ha) ↔ hR(ha -- r) ∧ r ∈ ha ∧ ha[r]o = o ∧ ha[r]a = a
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 10
Used lemmas:
sela-def
,
selo-def
,
maplet-def
,
Used spec theorems:
maplet
/heap-aux-inst/
map-del
Used simplifier rules:
obj-aux
/
elim-timtim
heap-sep
/heap-aux-inst/
sep-ass
heap-sep
/heap-aux-inst/
sep-com
heap
/heap-aux-inst/
del-notin
maplet
/heap-aux-inst/
at-rw
obj-aux
/
inj-timtim
maplet
/heap-aux-inst/
map-in