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Proof step 12 from proof validrefs-newref (previous step)

acc .first = st[r0 -- fs '] .refval, is_obj(str, r0, st), newref(r, st), st[r0 -- _type] .type ≤ ty, r ∈ acc, fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), validrefs(str, acc, fs .type, st), ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ r ∈ acc ∧ newref(r, st) → r = jvmref ⊦ r0 = jvmref, r = jvmref, r = r0, acc = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
acc = r1 + refs, r1 = st[r0 -- fs '] .refval, is_obj(str, r0, st), newref(r, st), st[r0 -- _type] .type ≤ ty, r ∈ acc, fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), validrefs(str, acc, fs .type, st), ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ r ∈ acc ∧ newref(r, st) → r = jvmref ⊦ r0 = jvmref, r = jvmref, r = r0, acc = []

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [acc, r1, refs] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (acc, r1, refs)]]