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Proof step 16 from proof okarray-primput (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), 0 ≤ j0, 0 ≤ st[r -- _length] .intval, r ∈ st, j0 < st[r -- _length] .intval, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, r -- _type ∈ st, j < st[r -- _length] .intval, okprimtype(val, ty), 0 < st[r -- _length] .intval, 0 ≤ j, ∀ j1. ¬ j1 < 0 ∧ ¬ st[r -- _length] .intval ≤ j1 → oktype(st[r -- j1 '], ty, st) ⊦ r = jvmref, oktype((j0 = j ⊃ val; st[r -- j0 ']), ty, st)

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 10:
⊦ okprimtype(val, ty) → oktype(val, ty, st)
Proof step 15:
j0 ≠ j, st[r -- _type] = typeval(mkarraytype(ty)), 0 ≤ j0, 0 ≤ st[r -- _length] .intval, r ∈ st, j0 < st[r -- _length] .intval, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, r -- _type ∈ st, j < st[r -- _length] .intval, okprimtype(val, ty), 0 < st[r -- _length] .intval, 0 ≤ j, ∀ j1. ¬ j1 < 0 ∧ ¬ st[r -- _length] .intval ≤ j1 → oktype(st[r -- j1 '], ty, st) ⊦ oktype(st[r -- j0 '], ty, st), r = jvmref

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j])]]