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Proof step 16 from proof same-subclasses-is-array (previous step)

tdname+∃(str0, st[r -- _type] .type .jtelemtype .class), is_array(r, st), has_classtype(st[r -- _type] .type), ∀ 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
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)

Rule argument

[emptyarg]

Additional information

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