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Theorem path-modify

⊦ ¬ r0 ∈ x → (path(x, H[r0, ce]) ↔ path(x, H))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: acyclic-rem-not-reachable, rem-stays-reachable-aux,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: path-cons, path-one, path-empty,
Used spec theorems:
- Used simplifier rules:
  - list/reflist/app
  - list/reflist/in-rec
  - list/reflist/in-06
  - store/linheap/At-other
  - store/linheap/in-neq
  - list/reflist/a
  - list/reflist/c