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Proof step 5 from proof cong-mult-rew (previous step)

≡mod(i0, i2, j) ⊦ j | i * i0 - i1 ↔ ≡mod(i * i2, i1, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ≡mod(i, i0, j) ↔ j | abs(i - i0)
Proof step 7:
≡mod(i0, i2, j) ⊦ j | i * i0 - i1 ↔ j | abs(i * i2 - i1)

Rule argument

spec: int-mod inst: name: congmod-def seq: ⊦ ≡mod(i, i0, j) ↔ j | abs(i - i0) subst: [j, i0, i] → [j, i1, i * i2] flags: rewrite, current

Additional information

Used terms: j, i1, i * i2