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Proof step 25 from proof unchNorec-junkrefs (previous step)

st[r -- _type] = st0[r -- _type], st0[r -- _type] .type ≤ ty, junkrefs(str, r ' + refs0, ty, st), is_obj(str, r, st0), unchangedNorec(r, st, st0), ∀ r0. r0 ∈ refs0 → unchangedNorec(r0, st, st0), ∀ str, ty, st, st0. junkrefs(str, refs0, ty, st) ∧ (∀ r. r ∈ refs0 → unchangedNorec(r, st, st0)) → junkrefs(str, refs0, ty, st0) ⊦ r = jvmref, refs0 ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st0[r -- _type] .type .class) ∧ is_referencevalue(st0[r -- fs ']) ∧ refs0 .first = st0[r -- fs '] .refval ∧ junkrefs(str, refs0, fs .type, st0))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: junkrefs-class antecedent: succedent: is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( junkrefs(str, r ' + refs, ty, st) ↔ refs ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs .first = st[r -- fs '] .refval ∧ junkrefs(str, refs, fs .type, st))) substlist: [st, ty, refs, r, str] → [st, ty, refs0, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, refs0, r, str)]]