Theorems · Theorem · Lie groups
uniformity_eq_comap_nhds_one
∀ (Gᵣ : Type u_3) [inst : UniformSpace Gᵣ] [inst_1 : Group Gᵣ] [IsRightUniformGroup Gᵣ], uniformity Gᵣ = Filter.comap (fun x => x.2 / x.1) (nhds 1)
- Cited by
- 11 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
- Groupstatement and proof · cited by 6,238
- nhdsstatement and proof · cited by 5,554
- UniformSpacestatement and proof · cited by 2,040
- uniformitystatement and proof · cited by 765
- div_eq_mul_invproof · cited by 715
- Filter.comapstatement and proof · cited by 546
- IsRightUniformGroupstatement and proof · cited by 11
- uniformity_eq_comap_mul_inv_nhds_oneproof · cited by 5
Cited by11
Results whose statement or proof uses this declaration.
- cauchySeq_finset_iff_prod_vanishingproof · cited by 3
- uniformity_eq_comap_nhds_one_swappedproof · cited by 3
- uniformContinuous_of_tendsto_oneproof · cited by 2
- Filter.HasBasis.uniformity_of_nhds_oneproof · cited by 2
- IsUniformGroup.extproof · cited by 1
- MonoidHom.isUniformInducing_of_isInducingproof · cited by 1
- IsUniformGroup.cauchy_iff_tendsto_swappedproof · cited by 0
- IsUniformGroup.cauchy_map_iff_tendsto_swappedproof · cited by 0
- IsRightUniformGroup.completeSpace_of_weaklyLocallyCompactSpaceproof · cited by 0
- IsUniformGroup.uniformity_countably_generatedproof · cited by 0
- NonarchimedeanGroup.cauchySeq_of_tendsto_div_nhds_oneproof · cited by 0