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Proof step 20 from proof alignup-le-is-aligned (previous step)

m % n = 0, m < m0, n * m0 / n + n < m0, (m0 % n = 0 ⊃ m0;n * m0 / n + n) ≤ m ⊦ m0 % n = 0, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
m % n = 0, m < m0, n * m0 / n + n < m0, n * m0 / n + n ≤ m ⊦ m0 % n = 0, n = 0

Rule argument

Additional information

Used simplifier rules: fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat