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Proof step 10 from proof okarray-union (previous step)

st0[r -- _length] = intval(i), st0[r -- _type] = typeval(mkarraytype(ty1)), j0 < i, ty1 ≤ ty, r -- _type ∈ st0, r ∈ st0, 0 ≤ i, r -- _length ∈ st0, 0 ≤ j0, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → r -- j ' ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st0[r -- j '], ty, st ∪ st0) ⊦ r = jvmref, oktype(st0[r -- j0 '], ty, st0), r ∈ st .refs

User applied rule all left

And obtained the following new goals

Proof step 9:
⊦ ¬ oktype(val, ty, st0) → ¬ oktype(val, ty, st1)

Rule argument

[EXRARG : pos: left 12, [extquanttermlist: (j0)abort:F, discard:T, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (j0)]]