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Proof step 22 from proof validfieldinits-validreflist (previous step)

is_referencevalue(val), 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) ⊦ val .refval = jvmref, validreflist(str, val ' + mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 21:
val = refval(r), is_referencevalue(val), 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) ⊦ r = jvmref, validreflist(str, val ' + mkjavavalues(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-13 antecedent: succedent: is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) substlist: [val, r] → [val, r] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (val, r)]]