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Proof step 19 from proof square-le-one (previous step)

1 < (sqrt(i) + 1)^2, 0 < (sqrt(i) + 1)^2, sqrt(i) ^2 < (sqrt(i) + 1)^2, 4 < (sqrt(i) + 1)^2, i < (sqrt(i) + 1)^2, sqrt(i) ^2 ≤ i, 0 ≤ i, 4 ≤ i, sqrt(i) ≤ 1, 0 < i, sqrt(i) < (sqrt(i) + 1)^2 ⊦ 4 = 2 ^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 terms: 2