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Theorem map-write

r ∈ h ⊦ (r => o0 * hP)(h(r := o1)) → o0 = o1

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: map-put-rw,
Used by units in proved state: map-ex-maplet, map-separation,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: maplet,
Used spec theorems:
- map-sep/sep
- map/Extension
Used simplifier rules: