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Proof step 12 from proof enc-invert (previous step)

maxenc(m) * (maxenc(m) + 1) = 2 * n0 ⊦ (((maxenc(m) - (m - (2 * n0) / 2)) + (m - (2 * n0) / 2)) * ((maxenc(m) - (m - (2 * n0) / 2)) + (m - (2 * n0) / 2) + 1)) / 2 + (m - (2 * n0) / 2) = m

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ (2 * m) / 2 = m
Proof step 14:
maxenc(m) * (maxenc(m) + 1) = 2 * n0 ⊦ (((maxenc(m) - (m - n0)) + (m - n0)) * ((maxenc(m) - (m - n0)) + (m - n0) + 1)) / 2 + (m - n0) = m

Rule argument

spec: nat-div inst: name: two-mdiv2-02 seq: ⊦ (2 * m) / 2 = m subst: [m] → [n0] flags: rewrite

Additional information

Used terms: n0