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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: Square-def seq: ⊦ i ^2 = i * i subst: [i] → [2] flags: <all paths>

Additional information

Used terms: 2