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Proof step 13 from proof test-sqrt-02 (previous step)

⊦ sqrt(20000) = 141

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 14:
⊦ j ^2 ≤ i ∧ i < (j + 1)^2 ∧ 0 ≤ j → sqrt(i) = j
Proof step 15:
141 ^2 ≤ 20000 ∧ 20000 < (141 + 1)^2 ∧ 0 ≤ 141 → sqrt(20000) = 141 ⊦ sqrt(20000) = 141

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] → [141, 20000] flags: []

Additional information

Used terms: 141, 20000