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Theorem tr-fold

⊦ (r => mknode(r0, a, r1) * tr(r0, t0) * tr(r1, t1) * P)(H) → (¬ (tr(r, branch(t0, a, t1)) * P)(H) ↔ false)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: tr-rec,
Used spec theorems:
- Used simplifier rules:
  - heap-sep/node-heap/sep-com
  - heap-sep/node-heap/sep-ass
  - maplet/node-heap/ex2-shift