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Proof step 24 from proof divi-same (previous step)

m * n1 = dist(n0, m * n2 + n) ⊦ m | dist(n, n0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ m ≤ n → dist(m, n) = n - m
Proof step 26:
¬ n0 ≤ m * n2 + n, m * n1 = dist(n0, m * n2 + n) ⊦ m | dist(n, n0)
Proof step 30:
n0 ≤ m * n2 + n, m * n1 = m * n2 + n - n0 ⊦ m | dist(n, n0)

Rule argument

spec: nat-prime inst: name: dist-fst seq: ⊦ m ≤ n → dist(m, n) = n - m subst: [n, m] → [m * n2 + n, n0] flags: rewrite, current

Additional information

Used terms: m * n2 + n, n0