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Proof step 10 from proof is-aligned-still-space (previous step)

n * n1 < (n2 * n1) % (n * n1) + n1 ⊦ (n2 * n1) % (n * n1) = 0, n = 0, n1 = 0

User applied rule cut formula

And obtained the following new goals

Proof step 11:
n * n1 < (n2 * n1) % (n * n1) + n1, ∃ m0, m1. n2 = m0 * n + m1 ∧ m1 < n ⊦ (n2 * n1) % (n * n1) = 0, n = 0, n1 = 0
Proof step 17:
n * n1 < (n2 * n1) % (n * n1) + n1 ⊦ (n2 * n1) % (n * n1) = 0, n = 0, n1 = 0, ∃ m0, m1. n2 = m0 * n + m1 ∧ m1 < n

Rule argument

fma: ∃ m0, m1. n2 = m0 * n + m1 ∧ m1 < n

Additional information

Used formulas: ∃ m0, m1. n2 = m0 * n + m1 ∧ m1 < n