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Proof step 185 from proof compat-addobj (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 184:
(addobj(r, class, [], st)[r0 -- _type]) = typeval(ty), r0 -- _type ∈ addobj(r, class, [], st), is_typevalue(addobj(r, class, [], st)[r0 -- _type]), compatrefs(str, st), compatstatic(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), r0 ∈ addobj(r, class, [], st) ⊦ r0 = jvmref, r = jvmref, (is_classtype(ty) ∧ class+∃(str, ty .class) → compatobj(str, r0, addobj(r, class, [], st))) ∧ (is_arraytype(ty) ∧ (¬ has_classtype(ty) ∨ tdname+∃(str, ty .type .jtelemtype .class)) → compatarray(str, r0, addobj(r, class, [], st)))

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [addobj(r, class, [], st)[r0 -- _type], ty] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (addobj(r, class, [], st)[r0 -- _type], ty)]]