Theorems · Theorem · real analysis
ENNReal.HolderConjugate.one_sub_inv
∀ (p q : ENNReal) [p.HolderConjugate q], 1 - p⁻¹ = q⁻¹
- Defined in
- Mathlib.Data.ENNReal.Holder
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENNReal.HolderConjugate
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- one_ne_zeroproof · cited by 885
- inv_oneproof · cited by 301
- ENNReal.HolderConjugatestatement and proof · cited by 39
- ENNReal.HolderTriple.inv_sub_inv_eq_invproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.HolderConjugate.eq_top_iff_eq_oneproof · cited by 1
- ENNReal.HolderConjugate.sub_one_mul_invproof · cited by 0