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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, map-put-rw, mapex-put-rw,
Used by units in proved state: heap-fun, separation-rg, separation, heap-aux,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 17
Used lemmas: maplet, mapex-in, map-del, map-write, ex3-shift, mapex,
Used spec theorems:
Used simplifier rules: