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Proof step 6 from proof square-four (previous step)

0 < 2 * sqrt(4) + 1 ^2, 0 < sqrt(4) ^2 + 2 * sqrt(4) + 1 ^2, sqrt(4) ^2 ≤ 4, 4 < sqrt(4) ^2 + 2 * sqrt(4) + 1 ^2 ⊦ 4 = 2 ^2, sqrt(4) = 2

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: Square-def seq: ⊦ i ^2 = i * i subst: [i] → [2] flags: rewrite, current

Additional information

Used simplifier rules: associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used terms: 2