Theorems · Theorem · real analysis
ENNReal.holderTriple_coe_iff
∀ {p q r : NNReal}, r ≠ 0 → ((↑p).HolderTriple ↑q ↑r ↔ p.HolderTriple q r)- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Nat.cast_zeroproof · cited by 1,870
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- Ne.bot_ltproof · cited by 116
- ENNReal.HolderTriplestatement and proof · cited by 65
- NNReal.HolderTriplestatement and proof · cited by 42
- ENNReal.HolderTriple.inv_add_inv_eq_invproof · cited by 7
- NNReal.HolderTriple.inv_add_inv_eq_invproof · cited by 6
- NNReal.HolderTriple.symmproof · cited by 5
- NNReal.HolderTriple.ne_zeroproof · cited by 3
- NNReal.holderTriple_iffproof · cited by 2
- ENNReal.holderTriple_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.holderConjugate_coe_iffproof · cited by 1
- NNReal.HolderTriple.coe_ennrealproof · cited by 0