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Proof step 1 from proof dist-c (conclusion)

⊦ dist(m, n) = dist(n, m)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ n < m → dist(m, n) = m - n
Proof step 3:
¬ n < m ⊦ dist(m, n) = dist(n, m)
Proof step 7:
n < m ⊦ m - n = dist(n, m)

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 terms: n, m