Theorems · Theorem · real analysis
NNReal.HolderTriple.coe
∀ {p q r : NNReal}, p.HolderTriple q r → (↑p).HolderTriple ↑q ↑rAlias of the reverse direction of NNReal.holderTriple_coe_iff.
- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement · cited by 1,260
- Real.HolderTriplestatement · cited by 53
- NNReal.HolderTriplestatement · cited by 42
- NNReal.holderTriple_coe_iffproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- NNReal.HolderTriple.ltproof · cited by 2
- NNReal.HolderTriple.one_div_add_one_divproof · cited by 1
- NNReal.HolderTriple.inv_lt_invproof · cited by 1
- ENNReal.HolderTriple.of_toNNRealproof · cited by 0
- NNReal.HolderTriple.inv_sub_inv_eq_invproof · cited by 0
- NNReal.HolderTriple.inv_inv_add_invproof · cited by 0