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Theorem path-trans

path(x, H) ∧ x.last = r ∧ path(r ' + y, H) ⊦ path(x + y, 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: 2
Proof steps: 6
Used lemmas: path-cons, path-one, path-empty,
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