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

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

User applied rule weakening

And obtained the following new goals

Proof step 8:
m1 < m0, m0 * m + n0 < m1 * m, ∀ m2, n, m3. m0 * m2 + n < m3 * m2 ∧ m3 < m0 → m3 = 0 ∨ m2 = 0, ∀ m3, m4, n. (m3 * m4 + m4) + n < m1 * m4 ∧ m1 ≤ m3 ∧ (∀ m, n0, m2. m3 * m + n0 < m2 * m ∧ m2 < m3 → m3 = 0 ∨ m2 = 0 ∨ m = 0) → m4 = 0 ⊦ m = 0, m1 = 0

Rule argument

poslist: right 2

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

User applied rule weakening

And obtained the following new goals

Rule argument

Additional information