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Proof step 7 from proof mod-nls (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 8:
j < 0, 0 < i1 * j + i0, 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 + 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% ⊦ i ≤ j → ¬ j < i; (s) Used formulas: i1 = 0