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Theorem linearity

reachable(r, r0, H), reachable(r, r1, H) ⊦ reachable(r0, r1, H) ∨ reachable(r1, r0, H)

Type: A user defined theorem
Validity: The proof is valid.
Features:
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: 14
Used lemmas: fromnext-reachable, reach-reachnext, reachable-notnullinH, path-prelast, path-butlast, path-split-last, path-one, reachable-def, reach-alloc,
Used spec theorems:
- Used simplifier rules:
  - list/reflist/app
  - list-last/reflist/l
  - list-last/reflist/l-02
  - list-last/reflist/last-elim
  - list/reflist/e-02
  - list/reflist/a
  - list/reflist/len
  - list/reflist/len-02
  - nat-basic2/s
  - nat-basic1/ref-1
  - nat-basic2/a
  - nat-basic2/c