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Theorem pathex-subset

⊦ validref(str, r, ty, st) ∧ path∃(str, r, r1, st) ∧ st ⊆ st0 → path∃(str, r, r1, st0)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: pathex-subset-01, pathex-subset-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: validrefs-subset-01, pathex-def,
Used spec theorems:
- Used simplifier rules:
  - junkrefs/validref-junkref
  - list/references/c-08
  - list/references/e
  - list/references/app-02-ant
  - list/references/a
  - list/references/e-01
  - list/references/c
  - list-data/references/elim-list-c