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Proof step 4 from proof min-a (previous step)

⊦ min(m, min(n, n0)) = min(min(m, n), n0), m < min(n, n0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
min(n, n0) ≤ m ⊦ min(n, n0) = min(min(m, n), n0)

Rule argument

Additional information

Used simplifier rules: Min-right: ⊦ ¬ m < n → min(m, n) = n;% ⊦ m < n ↔ ¬ n ≤ m; (ss)