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Proof step 12 from proof validfieldinits-validreflist (previous step)

validfieldinits(str, fis0, st), okval(refval(r), ty), type∃(str, ty), validref(str, r, ty, st), ∀ str, st. validfieldinits(str, fis0, st) → validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st) ⊦ r = jvmref, validref(str, r, mkclasstype(`java.lang.Object' .class), st), is_classtype(ty), is_arraytype(ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ is_referencevalue(val) → (okval(val, ty) ↔ ty = void_type ∨ is_reftype(ty))
Proof step 11:
is_referencevalue(refval(r)), validfieldinits(str, fis0, st), ty = void_type ∨ is_reftype(ty), type∃(str, ty), validref(str, r, ty, st), ∀ str, st. validfieldinits(str, fis0, st) → validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st) ⊦ r = jvmref, validref(str, r, mkclasstype(`java.lang.Object' .class), st), is_classtype(ty), is_arraytype(ty)

Rule argument

[x0lemmaarg: spec-name: valuefuns instance-name: lemma-name: okval-refval-01 antecedent: succedent: is_referencevalue(val) → (okval(val, ty) ↔ ty = void_type ∨ is_reftype(ty)) substlist: [ty, val] → [ty, refval(r)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))])], [EXTRATERMS : (ty, refval(r))]]