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Proof step 1 from proof square-four (conclusion)

⊦ sqrt(4) = 2

User applied rule insert lemma

And obtained the following new goals

Proof step 2:
⊦ 0 ≤ i → sqrt(i) ^2 ≤ i ∧ i < sqrt(i) +1 ^2
Proof step 3:
0 ≤ 4 → sqrt(4) ^2 ≤ 4 ∧ 4 < sqrt(4) +1 ^2 ⊦ sqrt(4) = 2

Rule argument

spec: inst: name: Sqrt-def seq: ⊦ 0 ≤ i → sqrt(i) ^2 ≤ i ∧ i < sqrt(i) +1 ^2 subst: [i] → [4] flags: current, []

Additional information

Used terms: 4