Theorems · Theorem · Lie groups
uniformity_eq_comap_nhds_one_swapped
∀ (Gᵣ : Type u_3) [inst : UniformSpace Gᵣ] [inst_1 : Group Gᵣ] [IsRightUniformGroup Gᵣ], uniformity Gᵣ = Filter.comap (fun x => x.1 / x.2) (nhds 1)
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 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.
- Filterstatement and proof · 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 · cited by 765
- Filter.comapstatement and proof · cited by 546
- Filter.comap_comapproof · cited by 69
- uniformity_eq_comap_nhds_oneproof · cited by 11
- IsRightUniformGroupstatement and proof · cited by 11
- comap_swap_uniformityproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- Filter.HasBasis.uniformity_of_nhds_one_swappedproof · cited by 1
- IsUniformGroup.cauchy_map_iff_tendstoproof · cited by 0
- IsUniformGroup.cauchy_iff_tendstoproof · cited by 0