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Proof step 9 from proof divi-same (previous step)

m * n2 = dist(n, m0), m * n1 = dist(n0, m0) ⊦ m | dist(n, n0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ m ≤ n → dist(m, n) = n - m
Proof step 11:
m * n1 = dist(n0, m0), m * n2 = dist(n, m0) ⊦ m | dist(n, n0), n ≤ m0
Proof step 24:
m * n1 = dist(n0, m0), m * n2 = m0 - n, n ≤ m0 ⊦ m | dist(n, n0)

Rule argument

spec: <toplevel> name: dist-fst seq: ⊦ m ≤ n → dist(m, n) = n - m subst: [n, m] → [m0, n] flags: <all paths>

Additional information

Used terms: m0, n