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Proof step 4 from proof same-subclasses-is-obj (previous step)

is_obj(r, st), is_obj(str0, r, st), same-subclasses(st[r -- _type] .type .class, str, str0) ⊦ ¬ is_abstract(st[r -- _type] .type .class) ∧ class+∃(str, st[r -- _type] .type .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st)
Proof step 3:
⊦ ¬ class+∃(str, class) ∧ same-subclasses(class, str, str0) → ¬ class+∃(str0, class)

Rule argument

[speclemmaarg: , is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st) ,[st, r, str] → [st, r, str0] ,F ,addfuns , ,is-real-object-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str0)]]