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Proof step 14 from proof okarray-okarray (previous step)

is_integervalue(st[r -- _length]), st[r -- _type] = typeval(mkarraytype(ty0)), st[r -- _length] = st[r -- _length], 0 ≤ st[r -- _length] .intval, r ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, ty0 ≤ ty, r -- _type ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, is_integervalue(st[r -- _length]) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → okval(st[r -- j '], ty))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r -- _type] = typeval(mkarraytype(ty0)), is_integervalue(st[r -- _length]), 0 ≤ st[r -- _length] .intval, r ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, ty0 ≤ ty, r -- _type ∈ st, j < st[r -- _length] .intval, 0 ≤ j, 0 < st[r -- _length] .intval, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, okval(st[r -- j '], ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j])]]