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Proof step 19 from proof validrefs-putbar-01 (previous step)

refs0 .first = (putByteArray(bytes, r, i, st)[r -- i0 ']) .refval, is_array(str, r, st), okbytearray(r, st), is_array(str, r, putByteArray(bytes, r, i, st)), st[r -- _type] .type ≤ ty, i0 < st[r -- _length] .intval, is_referencevalue(putByteArray(bytes, r, i, st)[r -- i0 ']), validrefs(str, refs0, st[r -- _type] .type .type, putByteArray(bytes, r, i, st)), 0 ≤ i0, 0 < st[r -- _length] .intval, ∀ 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)) ⊦ r = jvmref, refs0 = [], junkref(str, r, st), ∃ i1. ¬ i1 < 0 ∧ ¬ st[r -- _length] .intval ≤ i1 ∧ is_referencevalue(st[r -- i1 ']) ∧ refs0 .first = st[r -- i1 '] .refval ∧ validrefs(str, refs0, st[r -- _type] .type .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)]]