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Theorem write-known-p
⊦ rely(me, hO1, h1[r, o1], hO2, h2) → (((!(me, hO2, r => o0 * hP) * hP0))(h1) ↔ ((!(me, hO2, r => o1 * hP) * hP0))(h1[r, o1]) ∧ h1[r] = o0 ∧ r ∈ h1)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
write-known
,
write-unknown-p
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 19
Proof steps: 39
Used lemmas:
owned
,
Used spec theorems:
heap-sep
/
sep
heap
/
write-left
heap-sep
/
split-union
heap
/
disj
maplet
/
map-putex
heap
/
write-again
Used simplifier rules:
heap
/
at-uni
heap
/
in-uni
maplet
/
map-in
maplet
/
at-eq
heap-sep
/
sep-com
heap-sep
/
sep-ass
heap
/
disj-r
heap
/
in-write
maplet
/
mapex-elim
heap
/
at-write
heap
/
overwrite