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Proof step 5 from proof coef-08 (previous step)

m * n + 0 < m1 * n + m2 * n ↔ m + 0 < m1 + m2 ∧ n ≠ 0 ⊦ m * n < m1 * n + m2 * n ↔ m < m1 + m2 ∧ n ≠ 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ n + 0 = n
Proof step 7:
m * n < m1 * n + m2 * n ↔ m + 0 < m1 + m2 ∧ n ≠ 0 ⊦ m * n < m1 * n + m2 * n ↔ m < m1 + m2 ∧ n ≠ 0

Rule argument

spec: nat-basic name: add-base seq: ⊦ n + 0 = n subst: [n] → [m * n] flags: <all paths>

Additional information

Used terms: m * n