Theorems · Theorem · Lie groups
uniformity_eq_comap_nhds_zero
∀ (Gᵣ : Type u_3) [inst : UniformSpace Gᵣ] [inst_1 : AddGroup Gᵣ] [IsRightUniformAddGroup Gᵣ], uniformity Gᵣ = Filter.comap (fun x => x.2 - x.1) (nhds 0)
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- UniformSpacestatement and proof · cited by 2,040
- sub_eq_add_negproof · cited by 1,023
- uniformitystatement and proof · cited by 765
- Filter.comapstatement and proof · cited by 546
- IsRightUniformAddGroupstatement and proof · cited by 9
- uniformity_eq_comap_add_neg_nhds_zeroproof · cited by 4
Cited by17
Results whose statement or proof uses this declaration.
- cauchySeq_finset_iff_sum_vanishingproof · cited by 5
- Filter.HasBasis.uniformity_of_nhds_zeroproof · cited by 4
- uniformity_eq_comap_nhds_zero_swappedproof · cited by 4
- Valued.hasBasis_uniformityproof · cited by 4
- Disjoint.exists_open_convexesproof · cited by 2
- uniformContinuous_of_tendsto_zeroproof · cited by 2
- AddGroupFilterBasis.cauchy_iffproof · cited by 2
- IsUniformAddGroup.extproof · cited by 2
- IsUniformAddGroup.uniformity_countably_generatedproof · cited by 2
- AddMonoidHom.isUniformInducing_of_isInducingproof · cited by 2
- IsDenseInducing.extend_Z_bilinproof · cited by 1
- LaurentSeries.inducing_coeproof · cited by 1