Theorems · Theorem · Lie groups
uniformity_eq_comap_inv_mul_nhds_one
∀ (Gₗ : Type u_2) [inst : UniformSpace Gₗ] [inst_1 : Group Gₗ] [IsLeftUniformGroup Gₗ], uniformity Gₗ = Filter.comap (fun x => x.1⁻¹ * x.2) (nhds 1)
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 5,554
- UniformSpacestatement and proof · cited by 2,040
- uniformitystatement · cited by 765
- Filter.comapstatement · cited by 546
- IsLeftUniformGroupstatement and proof · cited by 8
- IsLeftUniformGroup.uniformity_eqproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- uniformity_eq_comap_inv_mul_nhds_one_swappedproof · cited by 2
- IsUniformGroup.of_left_rightproof · cited by 1
- comap_conj_nhds_oneproof · cited by 1
- Filter.HasBasis.uniformity_of_nhds_one_inv_mulproof · cited by 0