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Proof step 24 from proof okarray-put-okval-01 (previous step)

st[r0 -- _length] = intval(j), st[r0 -- _type] .type = mkarraytype(ty0), r0 ∈ st, 0 ≤ j, r0 -- _length ∈ st, ty0 ≤ ty, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, okval(val0, ty), is_arrayref(r0, j, st), ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[r0 -- j0 '], ty) ⊦ r0 = jvmref, okarray(refval(r0), ty, j, st[r -- i ', val0])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
st[r0 -- _type] = typeval(ty1), st[r0 -- _length] = intval(j), ty1 = mkarraytype(ty0), r0 ∈ st, 0 ≤ j, r0 -- _length ∈ st, ty0 ≤ ty, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, okval(val0, ty), is_arrayref(r0, j, st), ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[r0 -- j0 '], ty) ⊦ r0 = jvmref, okarray(refval(r0), ty, j, st[r -- i ', val0])

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r0 -- _type], ty1] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r0 -- _type], ty1)]]