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Proof step 1 from proof max-size (conclusion)

⊦ (maxenc(m) * (maxenc(m) + 1)) / 2 ≤ m ∧ m < ((maxenc(m) + 1) * (maxenc(m) + 2)) / 2

User applied rule insert lemma

And obtained the following new goals

Rule argument

spec: nat-pair inst: name: max-rev-01 seq: ⊦ maxenc(m) = n → (n * (n + 1)) / 2 ≤ m ∧ m < ((n + 1) * (n + 2)) / 2 subst: [m, n] → [m, maxenc(m)] flags: current, []

Additional information

Used terms: m, maxenc(m)