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Proof step 5 from proof dist-eq (previous step)

dist(m, n) = 0, n < m ⊦ m = n, m = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ n < m → dist(m, n) = m - n

Rule argument

spec: nat-prime inst: name: dist-snd seq: ⊦ n < m → dist(m, n) = m - n subst: [n, m] → [n, m] flags: rewrite, current

Additional information

Used simplifier rules: zero-01: ⊦ n < m → m - n ≠ 0; from specification nat Used terms: n, m