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Proof step 26 from proof okarray-subset (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), st[r -- _length] = intval(st[r -- _length] .intval), r -- _type ∈ st0, st ⊆ st0, r -- _type ∈ st, ty0 ≤ ty, r -- _length ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st0, r ∈ st, 0 ≤ st[r -- _length] .intval, r ∈ st0, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ ∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → r -- j ' ∈ st0, r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
st[r -- _type] = typeval(mkarraytype(ty0)), j < st[r -- _length] .intval, r -- _type ∈ st0, st ⊆ st0, r -- _type ∈ st, ty0 ≤ ty, r -- _length ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st0, r ∈ st, 0 ≤ st[r -- _length] .intval, r ∈ st0, 0 ≤ j, 0 < st[r -- _length] .intval, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, r -- j ' ∈ st0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : is_integervalue(val) ⊦ intval(val .intval) = val], [CSIMPSEQ : ⊦ ¬ is_integervalue(val) → val .intval = 0], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])]]