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Proof step 13 from proof ls-02 (previous step)

i / i0 < j / i0, 0 < i0, j ≤ i, 0 ≤ i, 0 ≤ j ⊦

User applied rule insert lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: ls-01 seq: i0 ≠ 0, j0 ≠ 0, 0 ≤ i, 0 ≤ i0, i ≤ j, i0 ≤ j0 ⊦ i / j0 ≤ j / i0 subst: [i0, j0, i, j] → [i0, i0, j, i]

Additional information

Used simplifier rules: ⊦ i < j → (j ≤ i ↔ false); (as)% ⊦ i ≠ j → (i ≤ j ↔ i < j); (s)% ⊦ i ≤ i; (s) Used terms: i0, i0, j, i