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Theorem copy-node-prepost-empty

⊦ closed(H) → (¬ copy-node-prepost(H, H, ∅) ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: copy-all-reachable-are-fresh, copy-no-effects, copy-term,
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: copy-node-prepost,
Used spec theorems:
- Used simplifier rules:
  - functions/inj-empty
  - functions/ran-empty
  - set-basic/refset/sub-e
  - store+set/ref-map-store+set-r/dom-emp
  - heap/node-heap/uni-emp-r
  - heap/node-heap/disj-emp-r
  - functions/dom-empty
  - functions/closed-empty