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Proof step 5 from proof compatrefs-mode (previous step)

st[r -- _type] = typeval(ty), r ∈ st, r -- _type ∈ st, ∀ r. r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) → (is_classtype(st[r -- _type] .type) ∧ class+∃(str, st[r -- _type] .type .class) → compatobj(str, r, st)) ∧ ( is_arraytype(st[r -- _type] .type) ∧ ( ¬ has_classtype(st[r -- _type] .type) ∨ class∃(str, st[r -- _type] .type .type .jtelemtype .class) ∨ interface∃(str, st[r -- _type] .type .type .jtelemtype .class) ∨ is_predefined_class(st[r -- _type] .type .type .jtelemtype .class)) → compatarray(str, r, st)) ⊦ r = jvmref, (is_classtype(ty) ∧ class+∃(str, ty .class) → compatobj(str, r, st)) ∧ (is_arraytype(ty) ∧ (¬ has_classtype(ty) ∨ tdname+∃(str, ty .type .jtelemtype .class)) → compatarray(str, r, st))

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 4, [extquanttermlist: (r)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(ty) → ¬ is_classtype(ty)], [CSIMPSEQ : ⊦ tdname+∃(str, class) ↔ tdname∃(str, class) ∨ is_predefined_class(class)], [CSIMPSEQ : ⊦ tdname∃(str, class) ↔ class∃(str, class) ∨ interface∃(str, class)])], [EXTRATERMS : (r)]]