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Proof step 173 from proof compat-addobj (previous step)

st[r0 -- _type] = typeval(ty), is_arraytype(ty), r0 ∈ st, r0 -- _type ∈ st, compatstatic(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), ¬ has_classtype(ty) ∨ tdname+∃(str, ty .type .jtelemtype .class), ¬ has_classtype(ty) ∨ class∃(str, ty .type .jtelemtype .class) ∨ interface∃(str, ty .type .jtelemtype .class) ∨ is_predefined_class(ty .type .jtelemtype .class) → compatarray(str, r0, st) ⊦ r0 = jvmref, r = jvmref, compatarray(str, r0, addobj(r, class, [], st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 172:
ty = mkarraytype(ty0), st[r0 -- _type] = typeval(ty), is_arraytype(ty), r0 ∈ st, r0 -- _type ∈ st, compatstatic(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), ¬ has_classtype(ty) ∨ tdname+∃(str, ty0 .jtelemtype .class), ¬ has_classtype(ty) ∨ class∃(str, ty0 .jtelemtype .class) ∨ interface∃(str, ty0 .jtelemtype .class) ∨ is_predefined_class(ty0 .jtelemtype .class) → compatarray(str, r0, st) ⊦ r0 = jvmref, r = jvmref, compatarray(str, r0, addobj(r, class, [], st))

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [ty, ty0] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (ty, ty0)]]