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Theorem same-subclasses-subclass

⊦ same-subclasses-contains(class, str, str0) ∧ class0 ≤ class ∧ tdname+∃(str0, class) → same-subclasses-contains(class0, str, str0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 12
Used lemmas: contains-supertype-04, same-subclasses-all-def,
Used spec theorems:
- junkrefs/same-subclasses-subclass
Used simplifier rules:
- typefuns/subclass
- typefuns/typeex-class