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Proof step 17 from proof okarray-primput (previous step)

st[r -- _type] = typeval(ty0), ty0 = mkarraytype(ty), 0 ≤ j, 0 < st[r -- _length] .intval, okprimtype(val, ty), j < st[r -- _length] .intval, r -- _type ∈ st, is_typevalue(st[r -- _type]), r -- _length ∈ st, is_arrayref(r, st[r -- _length] .intval, st), j0 < st[r -- _length] .intval, r ∈ st, 0 ≤ st[r -- _length] .intval, 0 ≤ j0, ∀ 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])]]