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Theorem path-last-nxt

⊦ path(r ' + x + r0 ', H) → (H[(r ' + x).last].nxt ≠ r0 ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: reachable-split-last, rem-stays-reachable-aux2,
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: path-cons, path-two,
Used spec theorems:
- Used simplifier rules:
  - list/reflist/app
  - list-last/reflist/l
  - list/reflist/Nil
  - list-last/reflist/l-05
  - list/reflist/c
  - list/reflist/a