Theorems · Theorem · real analysis
ENNReal.HolderConjugate.sub_one_mul_inv
∀ (p q : ENNReal) [p.HolderConjugate q], p ≠ ⊤ → (p - 1) * p⁻¹ = q⁻¹
- Defined in
- Mathlib.Data.ENNReal.Holder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENNReal.HolderConjugate
Around this declaration
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Cites9
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
- Top.topstatement and proof · cited by 9,680
- one_mulproof · cited by 2,841
- LT.lt.ne'proof · cited by 1,417
- ENNReal.HolderConjugatestatement and proof · cited by 39
- ENNReal.mul_inv_cancelproof · cited by 37
- ENNReal.sub_mulproof · cited by 8
- ENNReal.HolderConjugate.posproof · cited by 3
- ENNReal.HolderConjugate.one_sub_invproof · cited by 2
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