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Proof step 14 from proof mod-nls-04 (previous step)

i % j < i0, i0 + abs(j) ≤ 1 ⊦ abs(i % j) < abs(j), j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ j ≠ 0 → abs(i % j) = abs(i) % abs(j)
Proof step 16:
j ≠ 0, i % j < i0, i0 + abs(j) ≤ 1 ⊦ abs(i) % abs(j) < abs(j), j = 0

Rule argument

spec: int-div inst: name: abs-shift seq: ⊦ j ≠ 0 → abs(i % j) = abs(i) % abs(j) subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used terms: j, i