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Proof step 4 from proof le-succ (previous step)

m = m0 * n + n0 ∧ n0 < n, m0 < m / (n + 1) ⊦ n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
m0 < (m0 * n + n0) / (n + 1), n0 < n ⊦

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1%f: ⊦ m < n → n ≠ 0; from specification nat-basic1