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Proof step 63 from proof validrefs-putbar-01 (previous step)

st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(refs0 .first), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, putByteArray(bytes, r, i, st)), okbytearray(r, st), validrefs(str, refs0, ty0, putByteArray(bytes, r, i, st)), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_obj(str, r0, st), ∀ i, bytes, ty, r0, str, st, r, refs. # refs < # refs0 → (okbytearray(r, st) ∧ validrefs(str, r0 ' + refs, ty, putByteArray(bytes, r, i, st)) → junkref(str, r0, st) ∨ validrefs(str, r0 ' + refs, ty, st)) ⊦ refs0 = [], r0 = jvmref, junkref(str, r0, st), ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ refs0 .first = st[r0 -- fs '] .refval ∧ validrefs(str, refs0, fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs0, r1, refs1] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (refs0, r1, refs1)]]