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Proof step 7 from proof mod2-add-neg (previous step)

0 < i0, i < i0, 0 ≤ i0, i < i0 * 2, i ≤ 0, abs(i) ≤ i0 * 2 ⊦ i % 2 + (i + i0 * 2) % 2 = 0

User applied rule cut formula

And obtained the following new goals

Proof step 8:
0 < i0, i < i0, 0 ≤ i0, i < i0 * 2, i ≤ 0, abs(i) ≤ i0 * 2 ⊦ i = 0, i % 2 + (i + i0 * 2) % 2 = 0

Rule argument

fma: i = 0

Additional information

Used simplifier rules: mod-two-02: ⊦ (i * 2) % 2 = 0;%add-zero: ⊦ i + 0 = i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used formulas: i = 0