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Proof step 16 from proof okarray-addarray-other (previous step)

st[r -- _length] = intval(i), is_referencevalue(refval(r)) ∧ ( refval(r) .refval ≠ jvmref → refval(r) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r) .refval -- _type]) ∧ st[refval(r) .refval -- _type] .type ≤ mkarraytype(ty)), r -- _length ∈ st, is_arrayref(r, i, st), r ∈ st, 0 ≤ i, j < i, 0 ≤ j, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st) ⊦ r = r0, r = jvmref, oktype(st[r -- j '], ty, addarray(r0, ty0, vals, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
st[r -- _length] = intval(i), r -- _length ∈ st, is_arrayref(r, i, st), r ∈ st, 0 ≤ i, j < i, 0 ≤ j, 0 < i, r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), st[r -- _type] .type .type ≤ ty, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st) ⊦ r = r0, r = jvmref, oktype(st[r -- j '], ty, addarray(r0, ty0, vals, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]