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Proof step 12 from proof square-le-one (previous step)

0 < i, sqrt(i) ≤ 1, 4 ≤ i, 0 ≤ i ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 13:
⊦ 0 ≤ i → sqrt(i) ^2 ≤ i ∧ i < sqrt(i) +1 ^2
Proof step 14:
0 ≤ i → sqrt(i) ^2 ≤ i ∧ i < sqrt(i) +1 ^2, 0 < i, sqrt(i) ≤ 1, 4 ≤ i, 0 ≤ i ⊦

Rule argument

spec: inst: name: Sqrt-def seq: ⊦ 0 ≤ i → sqrt(i) ^2 ≤ i ∧ i < sqrt(i) +1 ^2 subst: [i] → [i] flags: current, []

Additional information

Used terms: i