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Proof step 8 from proof root-le (previous step)

0 < sqrt(i) * sqrt(i), i < sqrt(i) * sqrt(i), j < sqrt(i) * sqrt(i), sqrt(j) < sqrt(i), 0 ≤ j, 0 ≤ i, i ≤ j ⊦

User applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: root-nls: ⊦ 0 ≤ i → ¬ i < sqrt(i) * sqrt(i);%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult