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Proof step 16 from proof test-sqrt-04 (previous step)

even(4) ⊦ sqrt(29000000) = 5385

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 17:
⊦ j ^2 ≤ i ∧ i < (j + 1)^2 ∧ 0 ≤ j → sqrt(i) = j
Proof step 18:
5385 ^2 ≤ 29000000 ∧ 29000000 < (5385 + 1)^2 ∧ 0 ≤ 5385 → sqrt(29000000) = 5385, even(4) ⊦ sqrt(29000000) = 5385

Rule argument

spec: int-square inst: name: sqrt-estimate seq: ⊦ j ^2 ≤ i ∧ i < (j + 1)^2 ∧ 0 ≤ j → sqrt(i) = j subst: [j, i] → [5385, 29000000] flags: []

Additional information

Used terms: 5385, 29000000