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Theorem reachable-modbehind

⊦ reachable(r, r0, h) ∧ reachable(r0, r1, h) ∧ ¬ reachable(r1, r0, h) → (reachable(r, r0, h[r1, ce]) ↔ true)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 16
Used lemmas: path-cons, path-one, reachable-def,
Used spec theorems:
- store/linheap/At-other
Used simplifier rules:
- list/reflist/app
- list/reflist/a
- list-last/reflist/last-one
- store/linheap/In-insert
- list-last/reflist/last-rec
- list/reflist/c
- store/linheap/At-same
- store/linheap/insin
- store/linheap/in-neq