Theorems · Theorem · general topology
eHolderNorm_const
∀ (X : Type u_1) {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] (r : NNReal) (c : Y),
eHolderNorm r (Function.const X c) = 0- Defined in
- Mathlib.Topology.MetricSpace.HolderNorm
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Bot.botproof · cited by 4,720
- NNRealstatement and proof · cited by 4,310
- iInfproof · cited by 1,690
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ENNReal.ofNNRealproof · cited by 1,279
- HolderWithproof · cited by 47
- eHolderNormstatement · cited by 16
- ENNReal.bot_eq_zeroproof · cited by 5
- iInf₂_eq_botproof · cited by 4
- HolderWith.constproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- nnHolderNorm_constproof · cited by 1
- eHolderNorm_zeroproof · cited by 1
- eHolderNorm_eq_zeroproof · cited by 1