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Proof step 20 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) ⊦ r = jvmref, validreflist(str, refval(r) ' + mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ validreflist(str, val ' + vals, ty, st) ↔ is_referencevalue(val) ∧ validref(str, val .refval, ty, st) ∧ validreflist(str, vals, ty, st)
Proof step 19:
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) ⊦ r = jvmref, is_referencevalue(refval(r)) ∧ validref(str, refval(r) .refval, mkclasstype(`java.lang.Object' .class), st) ∧ validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validreflist-rec antecedent: succedent: validreflist(str, val ' + vals, ty, st) ↔ is_referencevalue(val) ∧ validref(str, val .refval, ty, st) ∧ validreflist(str, vals, ty, st) substlist: [st, ty, vals, val, str] → [st, mkclasstype(`java.lang.Object' .class), mkjavavalues(fis0 .vals .nonnullrefs), refval(r), str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkclasstype(`java.lang.Object' .class), mkjavavalues(fis0 .vals .nonnullrefs), refval(r), str)]]