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Proof step 27 from proof junkrefs-null-01 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
⊦ ¬ junkrefs(str, jvmref ' + refs, ty, st)
Proof step 26:
acc = r0 + refs ∧ acc ≠ [], st[r -- _type] .type ≤ ty, is_obj(str, r, st), ∀ str, refs0, ty, st. junkrefs(str, acc + jvmref ' + refs0, ty, st) ↔ junkrefs(str, acc, ty, st) ⊦ r = jvmref, (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ (acc + jvmref ') .first = st[r -- fs '] .refval ∧ junkrefs(str, acc + jvmref ' + refs0, fs .type, st)) ↔ acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r0 = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st))

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [acc, r0, refs] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ [] + refs = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' .first = r], [CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (acc, r0, refs)]]