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Proof step 31 from proof unchNorec-junkrefs (previous step)

is_obj(str, r, st0), junkrefs(str, r ' + refs0, ty, st), st0[r -- _type] .type ≤ ty, ∀ str, ty, st, st0. junkrefs(str, refs0, ty, st) ∧ (∀ r. r ∈ refs0 → unchangedNorec(r, st, st0)) → junkrefs(str, refs0, ty, st0), ∀ r0. r0 = r ∨ r0 ∈ refs0 → unchangedNorec(r0, st, st0) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, 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] → [st0, ty, refs0, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (st0, ty, refs0, r, str)]]