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Theorem contains-array

⊦ ¬ contains(str, ty ' + tys .rest) ∧ tys ≠ [] → ¬ contains(str, mkarraytype(ty) ' + tys)

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: 2
Proof steps: 8
Used lemmas: contains-supertype, contains-rec,
Used spec theorems:
- Used simplifier rules:
  - javatype/test-09
  - javatype/elim-01
  - typefuns/transitivity
  - javatype/diff-01
  - typefuns/array
  - typefuns/isreftype-05
  - typefuns/typeex-array
  - list/javatypes/a
  - list/javatypes/e-01
  - list/javatypes/c
  - list-data/javatypes/elim-list-c