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Proof step 2 from proof cong-mult-03 (previous step)

≡mod(i0, 1, j) ⊦ ≡mod(i0 * i, i, j)

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ ≡mod(i0, 1, j) → ≡mod(i * i0, i, j)

Rule argument

spec: int-mod inst: name: cong-mult-02 seq: ⊦ ≡mod(i0, 1, j) → ≡mod(i * i0, i, j) subst: [i0, j, i] → [i0, j, i] flags: current, []

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult Used terms: i0, j, i