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Proof step 2 from proof mod-neq (previous step)

i * j = i * j0 + j1, abs(j1) < abs(i) ⊦ j1 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ j < 0 → abs(j) = j
Proof step 4:
¬ ¬ i < 0, i * j = i * j0 + j1, abs(j1) < abs(i) ⊦ j1 = 0
Proof step 10:
¬ i < 0, i * j = i * j0 + j1, abs(j1) < i ⊦ j1 = 0

Rule argument

spec: int-abs inst: name: Abs-pos seq: ⊦ ¬ j < 0 → abs(j) = j subst: [j] → [i] flags: rewrite

Additional information

Used terms: i