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Proof step 5 from proof div-mod-eq (previous step)

i % j < 0 ⊦ j = 0, i |/| j * j + i |%| j = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ i % j < 0 → i |%| j = i % j + j
Proof step 7:
i % j < 0, i % j < 0 ⊦ j = 0, i |/| j * j + i % j + j = i

Rule argument

spec: int-mod inst: name: mod-neg-def seq: ⊦ i % j < 0 → i |%| j = i % j + j subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used terms: j, i