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Proof step 32 from proof divi-same (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 33:
⊦ m ≤ n → dist(m, n) = n - m
Proof step 34:
¬ n ≤ n0, m * n2 + n = m * n1 + n0 ⊦ m | dist(n, n0)
Proof step 48:
n ≤ n0, m * n2 + n = m * n1 + n0 ⊦ m | n0 - n

Rule argument

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

Additional information

Used terms: n0, n