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Theorem copy-all-reachable-are-fresh

r0 ∈ H, closed(H), H0 = H ⊦ [copy#(r0; r1, H)] ∀ r2. reachable(r1, r2, H) → ¬ r2 ∈ H0 ∧ r2 ∈ H

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: copy-node-prepost, copy-node-prepost-empty, copy-new-node, copy-01,
Used spec theorems:
- functions/reachable-closed
Used simplifier rules:
- store/ref-map/In-empty
- store/ref-map/subset-empty
- heap/node-heap/disj-r
- heap/node-heap/in-uni
- functions/ran-in-heap-eq