have lm := Real.rpow_add sq2_pos 1 1
two_nonneg : 2 ≥ 0
sq2_pos : Real.sqrt 2 > 0
sq2_nonneg : Real.sqrt 2 ≥ 0
⊢ Real.sqrt 2 ^ 2 = 2
two_nonneg : 2 ≥ 0
sq2_pos : Real.sqrt 2 > 0
sq2_nonneg : Real.sqrt 2 ≥ 0
lm : Real.sqrt 2 ^ (1 + 1) = Real.sqrt 2 ^ 1 * Real.sqrt 2 ^ 1
⊢ Real.sqrt 2 ^ 2 = 2