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Proof step 1 from proof coef-18 (conclusion)

⊦ m * n + n ≤ m1 * n ↔ m + 1 ≤ m1 ∨ n = 0

User applied rule apply lemma

And obtained the following new goals

Proof step 2:
⊦ m * n + m0 * n ≤ m1 * n ↔ m + m0 ≤ m1 ∨ n = 0
Proof step 3:
m * n + 1 * n ≤ m1 * n ↔ m + 1 ≤ m1 ∨ n = 0 ⊦ m * n + n ≤ m1 * n ↔ m + 1 ≤ m1 ∨ n = 0

Rule argument

spec: <toplevel> name: coef-05 seq: ⊦ m * n + m0 * n ≤ m1 * n ↔ m + m0 ≤ m1 ∨ n = 0 subst: [m, n, m0, m1] → [m, n, 1, m1]

Additional information

Used terms: m, n, 1, m1