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Proof step 2 from proof mods-ls-04 (previous step)

j0 < j, 0 ≤ i, 0 ≤ i0, 0 ≤ j0, 0 < j ⊦ i * j + j0 < i0 * j ↔ i < i0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i < i0 ∧ 0 ≤ j0 ∧ j0 < j → i * j + j0 < i0 * j
Proof step 4:
¬(i < i0 ∧ 0 ≤ j0 ∧ j0 < j), j0 < j, 0 ≤ i, 0 ≤ i0, 0 ≤ j0, 0 < j ⊦ i * j + j0 < i0 * j ↔ i < i0

Rule argument

spec: int-mult inst: name: mods-ls-02 seq: ⊦ i < i0 ∧ 0 ≤ j0 ∧ j0 < j → i * j + j0 < i0 * j subst: [i0, j0, j, i] → [i0, j0, j, i] flags: rewrite, current

Additional information

Used terms: i0, j0, j, i