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Proof step 74 from proof junkrefs-put-nopathexplus-equiv (previous step)

st[r -- i '] = refval(r0), junkrefs(str, r0 ' + refs1, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str, r, st), st[r -- _type] .type ≤ ty, is_arraytype(st[r -- _type] .type), ∀ val, sk, r, st0, ty, r2, str, refs. # refs < # (r0 + refs1) → (junkrefs(str, r2 ' + refs, ty, st0) → junkrefs(str, r2 ' + refs, ty, st0[r -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r, st0)) ⊦ r = r0, sk = _type, r = jvmref, junkrefs(str, r0 ' + refs1, st[r -- _type] .type .type, st[r0 -- sk, val]), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ st[r -- i0 '] .refval = r0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [st[r -- _type] .type, ty0] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (st[r -- _type] .type, ty0)]]