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Proof step 6 from proof compatrefs-mode (previous step)

st[r -- _type] = typeval(ty), r -- _type ∈ st, is_typevalue(st[r -- _type]), r ∈ 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))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
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))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])]]