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Theorem path-modify-strong

⊦ ¬ r0 ∈ x ∧ r0 ∈ h → (path(x + r1 ', h[r0, ce]) ↔ path(x + r1 ', h))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: 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: 7
Used lemmas: path-cons, path-two, path-one,
Used spec theorems:
- Used simplifier rules:
  - list/reflist/Nil
  - list/reflist/a
  - list/reflist/in-empty
  - store/linheap/In-insert
  - list/reflist/in-06
  - list/reflist/c
  - store/linheap/in-neq
  - store/linheap/At-other
  - list/reflist/in-17
  - list/reflist/in-append