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

m ≤ n ⊦ dist(m, n) = dist(n, m)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ m ≤ n → dist(m, n) = n - m
Proof step 6:
m ≤ n, m ≤ n ⊦ n - m = dist(n, m)

Rule argument

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

Additional information

Used terms: n, m