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Proof step 16 from proof validfieldinits-validreflist (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 15:
validfieldinits(str, fis0, st), okval(refval(r), ty) ∧ (is_referencevalue(refval(r)) → validrefval(str, refval(r), ty, st)), type∃(str, ty), ∀ str, st. validfieldinits(str, fis0, st) → validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st) ⊦ validref(str, r, mkclasstype(`java.lang.Object' .class), st), r = jvmref

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validval-def antecedent: succedent: validval(str, val, ty, st) ↔ okval(val, ty) ∧ ( is_referencevalue(val) → validrefval(str, val, ty, st)) substlist: [st, ty, val, str] → [st, ty, refval(r), str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, refval(r), str)]]