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Proof step 3 from proof zero-gr-add-02 (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 4:
0 < i1 * j + i0, j < 0, 0 ≤ i0, 0 ≤ i1, i0 ≤ i1 ⊦ i1 = 0

Rule argument

fma: i1 = 0

Additional information

Used simplifier rules: Mult-zero: ⊦ i * 0 = 0;%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;% ⊦ i ≤ j → (j ≤ i ↔ i = j); (s)% ⊦ i + 0 = i; (s)%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs Used formulas: i1 = 0