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Proof step 21 from proof test-sqrt-05 (previous step)

odd(5) ⊦ sqrt(290000000) = 17029, 17029 * 17029 ≤ 290000000 ∧ 290000000 < 17030 ^2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
odd(5), 17030 ^2 ≤ 290000000 ⊦ sqrt(290000000) = 17029

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult