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Proof step 27 from proof validfieldinits-validreflist (previous step)

validfieldinits(str, fis0, st), 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)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 26:
fs = mkfs(class, ty, fieldvar), validfieldinits(str, fis0, st), validval(str, val, ty, st), type∃(str, ty), ∀ 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: fieldspec instance-name: lemma-name: elim antecedent: succedent: class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) substlist: [fs, class, ty, fieldvar] → [fs, class, ty, fieldvar] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty, fieldvar)]]