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Proof step 14 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)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ validref(str, r, ty, st) ∧ ty ≤ ty0 → validref(str, r, ty0, st)
Proof step 13:
¬ (validref(str, r, ty, st) ∧ ty ≤ mkclasstype(`java.lang.Object' .class)), 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)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: validref-supertype antecedent: succedent: validref(str, r, ty, st) ∧ ty ≤ ty0 → validref(str, r, ty0, st) substlist: [str, r, ty, st, ty0] → [str, r, ty, st, mkclasstype(`java.lang.Object' .class)] 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 : (str, r, ty, st, mkclasstype(`java.lang.Object' .class))]]