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Proof step 18 from proof compat-addobj (previous step)

st[_mode] = return(val, ty), is_referencevalue(val), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, newref(r, st), is_predefined_class(class), okval(val, ty), val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ is_reftype(st[val .refval -- _type] .type) ∧ (has_classtype(st[val .refval -- _type] .type) → tdname+∃(str, st[val .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[val .refval -- _type] .type) → class+∃(str, st[val .refval -- _type] .type .class)) ∧ is_subtype(str, st[val .refval -- _type] .type, ty) ⊦ r = jvmref, return(val, ty) = return(noval, void_type), compat(str, val, ty, st[r -- _type, typeval(mkclasstype(class))])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
val = refval(r0), st[_mode] = return(val, ty), is_referencevalue(val), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, newref(r, st), is_predefined_class(class), okval(val, ty), r0 ≠ jvmref → r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type) ∧ (has_classtype(st[r0 -- _type] .type) → tdname+∃(str, st[r0 -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[r0 -- _type] .type) → class+∃(str, st[r0 -- _type] .type .class)) ∧ is_subtype(str, st[r0 -- _type] .type, ty) ⊦ r = jvmref, return(val, ty) = return(noval, void_type), compat(str, val, ty, st[r -- _type, typeval(mkclasstype(class))])

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [val, r0] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (val, r0)]]