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Theorem map-put-01
⊦ ((r ==>_ * hR))(ha) ↔ ((r ==>(o1, a1) * hR))(ha[r, o1, a1]) ∧ r ∈ ha
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas:
maplet-def
,
mod-def
,
Used spec theorems:
maplet
/heap-aux-inst/
map-put
Used simplifier rules:
maplet
/heap-aux-inst/
mapex-in
maplet
/heap-aux-inst/
mapex-put-rw
heap-sep
/heap-aux-inst/
sep-ass
heap-sep
/heap-aux-inst/
sep-com
maplet
/heap-aux-inst/
map-write