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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r -- _type] = typeval(mkarraytype(ty0)), j < st[r -- _length] .intval, r -- _type ∈ st0, st ⊆ st0, r -- _type ∈ st, ty0 ≤ ty, r -- _length ∈ 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), ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → r -- j0 ' ∈ st ⊦ r = jvmref, okval(st0[r -- j '], ty), r -- j ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]