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Theorem contains-trans

⊦ contains(str, ty, ty0) ∧ contains(str, ty0, ty1) → contains(str, ty, ty1)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: same-subclasses-01, same-subclasses-array-forward, same-subclasses-class-forward, same-subclasses-forward,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas: contains-trans-01, contains-type-def, contains-type-def-nodups,
Used spec theorems:
- Used simplifier rules:
  - list/javatypes/c
  - list/javatypes/a
  - list-dup/javatypes/dups-cons
  - list/javatypes/Last