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Proof step 8 from proof unchNorec-isarray (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), st0[r -- _length] = intval(i0), j < i0, 0 ≤ i0, r -- _length ∈ st0, r ∈ st, r -- _length ∈ st, is_arrayref(r, i0, st), r -- _type ∈ st, unchangedNorec(r, st, st0), r -- _type ∈ st0, r ∈ st0, 0 ≤ j, 0 < i0, okval(st[r -- j '], ty), ∀ i. ¬ i < 0 ∧ ¬ i0 ≤ i → st[r -- i '] = st0[r -- i '] ⊦ r = jvmref, okval(st0[r -- j '], ty)

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 18, [extquanttermlist: (j)abort:F, discard:T, computed:T]]

Additional information

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