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Proof step 2 from proof mod-two-pred-02 (previous step)

i < 0 ⊦ (1 - 2 * i) % 2 = 1

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: 1 - 2 * i = ~(2 * i - 1)

Additional information

Used simplifier rules: minus-02: ⊦ ~(i - 1) = ~ i + 1; from specification int-abs%neg-15: ⊦ i + ~ j = i - j; 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%sub-eq: ⊦ i - j = i0 ↔ i = i0 + j; from specification int-abs%Sub-def: ⊦ i + (j - i) = j; from specification int-abs Used formulas: 1 - 2 * i = ~(2 * i - 1)