Theorems · Theorem · general topology
nnHolderNorm_const
∀ (X : Type u_1) {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] (r : NNReal) (c : Y),
nnHolderNorm r (Function.const X c) = 0- Defined in
- Mathlib.Topology.MetricSpace.HolderNorm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealproof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ENNReal.ofNNRealproof · cited by 1,279
- nonpos_iff_eq_zeroproof · cited by 100
- ENNReal.coe_le_coeproof · cited by 73
- nnHolderNormstatement and proof · cited by 13
- ENNReal.coe_zeroproof · cited by 13
- eHolderNorm_constproof · cited by 3
- coe_nnHolderNorm_le_eHolderNormproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- nnHolderNorm_zeroproof · cited by 0