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Theorem map-putex
r ∈ h ⊦ (r => o0 * hP)(h(r := o1)) ↔ o0 = o1 ∧ (r.=>_ * hP)(h)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss,
Comment:
Used by:
map-put
,
mapex-put-rw
,
Used by units in proved state:
refmap-separation
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas:
mapex
,
Used spec theorems:
map
/
exin
refmap-maplet
/
map-del
Used simplifier rules:
refmap-maplet
/
ex1-shift
refmap-maplet
/
map-in
refmap-maplet
/
map-put-rw
map-sep
/
sep-ass
map-sep
/
sep-com
refmap-maplet
/
map-write
map
/
put-same
map
/
notin-del-notin
map
/
Del-rec-same
map
/
In-insert
map
/
k-At-same