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Proof step 18 from proof test-sqrt-02 (previous step)

⊦ sqrt(20000) = 141, 141 * 141 ≤ 20000 ∧ 20000 < 142 ^2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
142 ^2 ≤ 20000 ⊦ sqrt(20000) = 141

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