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Proof step 33 from proof validfieldinits-validreflist (previous step)

validfieldinits(str, fv ' + fis0, st), ∀ str, st. validfieldinits(str, fis0, st) → validreflist(str, mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st) ⊦ validreflist(str, mkjavavalues((fv .2 ' + fis0 .vals) .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 32:
fv = sk × val, validfieldinits(str, fv ' + fis0, st), ∀ 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: pair instance-name: fieldinit lemma-name: elim antecedent: succedent: sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val substlist: [fv, sk, val] → [fv, sk, val] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val])], [EXTRATERMS : (fv, sk, val)]]