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

¬ m ≤ n, dist(m, n) = 0 ⊦ m = n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1%neq-01: ⊦ m ≠ n → (¬ m < n ↔ n < m); from specification nat-basic1%lels-02: ⊦ m ≠ n → (m ≤ n ↔ m < n); from specification nat