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Theorem H-dom-subset

⊦ dom H ⊆ dom map ∧ r ∈ H → (¬ r ∈ map ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
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: 4
Used lemmas: dom,
Used spec theorems:
- set-union/refset/subdef
Used simplifier rules:
- store+set/ref-map-store+set-r/Dom