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Proof step 14 from proof ltwo-03 (previous step)

4 * 2 ^ log2 n ≤ 2 * n ⊦ log2(2 * n) = log2 n + 1, n = 0

User applied rule insert lemma

And obtained the following new goals

Proof step 15:
⊦ n < 2 * 2^ log2 n
Proof step 16:
n < 2 * 2^ log2 n, 4 * 2 ^ log2 n ≤ 2 * n ⊦ log2(2 * n) = log2 n + 1, n = 0

Rule argument

spec: nat-pot inst: name: ltwo-05 seq: ⊦ n < 2 * 2^ log2 n subst: [n] → [n] flags: current, []

Additional information

Used terms: n