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Proof step 15 from proof same-subclasses-is-array (previous step)

is_array(r, st), has_classtype(st[r -- _type] .type), tdname∃(str0, st[r -- _type] .type .jtelemtype .class), ∀ class0. interface∃(str0, class0) ∧ class0 ≤ st[r -- _type] .type .jtelemtype .class → interface∃(str, class0), ∀ class0. class∃(str0, class0) ∧ class0 ≤ st[r -- _type] .type .jtelemtype .class → class∃(str, class0) ⊦ st[r -- _type] .type .jtelemtype = void_type, st[r -- _type] .type .jtelemtype = abstract_type, tdname∃(str, st[r -- _type] .type .jtelemtype .class), is_predefined_class(st[r -- _type] .type .jtelemtype .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ tdname∃(str, class) ↔ class∃(str, class) ∨ interface∃(str, class)
Proof step 14:
is_array(r, st), has_classtype(st[r -- _type] .type), tdname∃(str0, st[r -- _type] .type .jtelemtype .class), ∀ class0. interface∃(str0, class0) ∧ class0 ≤ st[r -- _type] .type .jtelemtype .class → interface∃(str, class0), ∀ class0. class∃(str0, class0) ∧ class0 ≤ st[r -- _type] .type .jtelemtype .class → class∃(str, class0) ⊦ st[r -- _type] .type .jtelemtype = void_type, st[r -- _type] .type .jtelemtype = abstract_type, class∃(str, st[r -- _type] .type .jtelemtype .class) ∨ interface∃(str, st[r -- _type] .type .jtelemtype .class), is_predefined_class(st[r -- _type] .type .jtelemtype .class)

Rule argument

[speclemmaarg: ,tdname∃(str, class) ↔ class∃(str, class) ∨ interface∃(str, class) ,[class, str] → [st[r -- _type] .type .jtelemtype .class, str] ,F ,typefuns , ,tdnameex-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- _type] .type .jtelemtype .class, str)]]