Theorems · Theorem · real analysis
Real.HolderConjugate.inv_one_sub_inv
∀ {a : ℝ}, 0 < a → a < 1 → a⁻¹.HolderConjugate (1 - a)⁻¹- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- inv_invproof · cited by 494
- add_sub_cancelproof · cited by 195
- Real.HolderConjugatestatement · cited by 78
- one_lt_inv₀proof · cited by 13
- Real.holderConjugate_iffproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Real.HolderConjugate.one_sub_inv_invproof · cited by 0