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Proof step 28 from proof even-add (previous step)

⊦ 2 * (m / 2 + n / 2) + 2 = m + n, ∃ m0. 2 * m0 = n, ∃ m0. 2 * m0 = m

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ m0 * (m + n) = m0 * m + m0 * n
Proof step 30:
⊦ (2 * m / 2 + 2 * n / 2) + 2 = m + n, ∃ m0. 2 * m0 = n, ∃ m0. 2 * m0 = m

Rule argument

spec: nat-mult inst: name: dist seq: ⊦ m0 * (m + n) = m0 * m + m0 * n subst: [n, m, m0] → [n / 2, m / 2, 2] flags: rewrite

Additional information

Used terms: n / 2, m / 2, 2