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Theorem ran-in-heap-eq

⊦ r ∈ map ∧ ran map = dom H → (¬ map[r] ∈ H ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state: copy,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: dom, ran,
Used spec theorems:
- set-basic/refset/Extension
Used simplifier rules:
- store+set/ref-map-store+set-r/In-data-in