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Theorem fromnext-reachable-rev

⊦ reachable(H[r].nxt, r0, H) ∧ r ≠ r0 ∧ r ≠ null ∧ r ∈ H → (¬ reachable(r, r0, H) ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-preserves-reachable, add-preserves-reachable-rev, modnotreachable-reachable, modnotreachable-reachable-rev, modnotreachable-reachable-rev-weak, reachable-split-first, reachable-trans, rem-reachable,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: path-cons, reachable-def, reach-alloc,
Used spec theorems:
- Used simplifier rules:
  - list/reflist/a
  - list-last/reflist/l-05