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Proof step 4 from proof dist-eq (previous step)

dist(m, n) = 0 ⊦ m = n, m ≤ n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
dist(m, n) = 0, n < m ⊦ m = n

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)