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Proof step 25 from proof validfieldinits-validreflist (previous step)

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)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ¬ is_referencevalue(val) ∨ val .refval = jvmref → (val ' + vals) .nonnullrefs = vals .nonnullrefs
Proof step 23:
¬ (¬ is_referencevalue(val) ∨ val .refval = jvmref), 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)
Proof step 24:
¬ is_referencevalue(val) ∨ val .refval = jvmref, 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(fis0 .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

Rule argument

[x0lemmaarg: spec-name: valuesfuns instance-name: lemma-name: nonnullrefs-no antecedent: succedent: ¬ is_referencevalue(val) ∨ val .refval = jvmref → (val ' + vals) .nonnullrefs = vals .nonnullrefs substlist: [vals, val] → [fis0 .vals, val] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 1, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (fis0 .vals, val)]]