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Proof step 1 from proof modmod-ma-negpos-neg (conclusion)
⊦ j0 + i0 * i < 0 ∧ j0 < 0 ∧ 0 ≤ i ∧ 0 ≤ i0 ∧ 0 < j → (j0 + i0 * i % j) % j = (j0 + i0 * i) % j
System applied rule normalize
And obtained the following new goals
Proof step 2
:
j0 + i0 * i < 0, j0 < 0, 0 < j, 0 ≤ i, 0 ≤ i0 ⊦ (j0 + i0 * i % j) % j = (j0 + i0 * i) % j
Rule argument
Additional information