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Proof step 6 from proof mod-neq-01 (previous step)

j ≠ 0, i % ~ j = ~ j ⊦ j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
j ≠ 0 ⊦ i % j ≠ j

Rule argument

spec: int-div inst: name: mod-neq seq: j ≠ 0 ⊦ i % j ≠ j subst: [j, i] → [~ j, i] flags: rewrite, current

Additional information

Used simplifier rules: neg-10: ⊦ ~ i = 0 ↔ i = 0; from specification int-abs Used terms: ~ j, i