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Proof step 4 from proof zero-gr-add-02 (previous step)

0 ≤ i0, 0 < i1 * j + i0, i0 ≤ i1, j + 1 < i1 * j + i0, j < i1 * j + i0, j < 0, 0 < i1, j + 1 < i1 ⊦ i1 = 0

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: i1 * j + i0 ≤ i1 * j + i1

Additional information

Used simplifier rules: lep-02: ⊦ i + j ≤ i + j0 ↔ j ≤ j0; from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%lenls: ⊦ i ≤ j → ¬ j < i; from specification int-abs%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2 Used formulas: i1 * j + i0 ≤ i1 * j + i1