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Proof step 7 from proof numeral-10 (previous step)

m * m0 + n0 < m * m1, m1 < m0, ∀ m, n0, m2. m0 * m + n0 < m2 * m ∧ m2 < m0 → m = 0 ∨ m2 = 0, ∀ m3, m4, n. (m3 * m4 + m3) + n < m1 * m3 ∧ m1 ≤ m4 ∧ (∀ m, n0, m2. m4 * m + n0 < m2 * m ∧ m2 < m4 → m = 0 ∨ m2 = 0) → m3 = 0 ⊦ m = 0, m1 = 0

User applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: m, n0, m1 abort: F discard: F computed: F

Additional information

Used simplifier rules: mult-c: ⊦ m * n = n * m; Used terms: m, n0, m1