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Proof step 29 from proof validfieldinits-validreflist (previous step)

validfieldinits(str, fis0, st), is_fskey(sk), validval(str, val, sk .fs .type, st), type∃(str, sk .fs .type), ∀ str, st. validfieldinits(str, fis0, st) → validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st) ⊦ validreflist(str, mkjavavalues((val ' + fis0 .vals) .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 28:
sk = fs ', validfieldinits(str, fis0, st), is_fskey(sk), validval(str, val, fs .type, st), type∃(str, fs .type), ∀ str, st. validfieldinits(str, fis0, st) → validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st) ⊦ validreflist(str, mkjavavalues((val ' + fis0 .vals) .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

Rule argument

[x0lemmaarg: spec-name: storekey instance-name: lemma-name: elim-03 antecedent: succedent: is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') substlist: [sk, fs] → [sk, fs] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]