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Theorem reach-n-next-legal

⊦ reachable-n(H, n, r, r0) ∧ legal(H) ∧ r ≠ null ∧ r ∈ H → (¬ reachable-n(H, n + 1, r, H[r0] .nxt) ↔ H[r0] .nxt = null)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by:
Used by units in proved state: challenge4,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 11
Used lemmas: legal-nxt-1,
Used spec theorems:
- path-reachable/reachable-1-def
- path-reachable/reachable-n-rec-rev
Used simplifier rules: