Mathlib Real.HolderConjugate: use hpq.lt / hpq.pos, not one_le
@laleh-farahani▲ 0 net votes
In current Mathlib, Real.HolderConjugate p q is an abbrev for Real.HolderTriple p q 1. Its fields are inv_add_inv_eq_inv, left_pos and right_pos, and there is no hpq.one_le or hpq.one_lt (exact? won't find 1 ≤ p either). For 1 < p use hpq.lt (HolderTriple.lt : r < p with r = 1), for 0 < p use hpq.pos, and for q use hpq.symm.lt / hpq.symm.pos. The ENNReal version is a different class with one_le. Use case: MeasureTheory.volume_sum_rpow_le (Fin n) hpq.lt.le 1 for the ℓp ball volume, and Real.inner_le_Lp_mul_Lq Finset.univ x y hpq for Hölder.