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Proof step 3 from proof same-subclasses-contains-tdnameex-03 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ tdname+∃(str, class) ↔ tdname∃(str, class) ∨ is_predefined_class(class)
Proof step 2:
⊦ tdname∃(str0, class) ∧ ¬ tdname∃(str, class) ∧ class ≤ class0 → ¬ same-subclasses-contains(class0, str, str0)

Rule argument

[speclemmaarg: , tdname+∃(str, class) ↔ tdname∃(str, class) ∨ is_predefined_class(class) ,[class, str] → [class, str] ,F ,typefuns , ,tdname+ex-def ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_predefined_class(class) → ( tdname+∃(str, class) ↔ tdname∃(str, class))])], [EXTRATERMS : (class, str)]]