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Proof step 2 from proof modmod-mult-08 (previous step)

0 < j, 0 ≤ i, 0 ≤ i0 ⊦ (i % j * i0) % j = (i * i0) % j

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: mod-shift: ⊦ 0 ≤ i ∧ 0 ≤ i0 ∧ 0 < j → (i * i0 % j) % j = (i * i0) % j;%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult