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Proof step 23 from proof validrefs-put-last (previous step)

st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), acc + r0 ' = r1 ' + refs, validrefs(str, r1 ' + refs, ty0, st[r0 -- sk, val]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), junkref(str, acc .first, st), r0 ∈ refs, r1 ∈ acc ⊦ acc = [], r = jvmref, r0 = r, sk = _type, validrefs(str, r1 ' + refs, ty0, st), junkref(str, r, st), r0 ∈ acc

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 22:
acc = r2 + refs0, st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), acc + r0 ' = r1 ' + refs, validrefs(str, r1 ' + refs, ty0, st[r0 -- sk, val]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), junkref(str, r2, st), r0 ∈ refs, r1 ∈ acc ⊦ acc = [], r = jvmref, r0 = r, sk = _type, validrefs(str, r1 ' + refs, ty0, st), junkref(str, r, st), r0 ∈ acc

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [acc, r2, refs0] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (acc, r2, refs0)]]