Theorems · Theorem · Lie groups
uniformity_eq_comap_mul_inv_nhds_one
∀ (Gᵣ : Type u_3) [inst : UniformSpace Gᵣ] [inst_1 : Group Gᵣ] [IsRightUniformGroup Gᵣ], uniformity Gᵣ = Filter.comap (fun x => x.2 * x.1⁻¹) (nhds 1)
- Cited by
- 5 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
- IsRightUniformGroupstatement and proof · cited by 11
- IsRightUniformGroup.uniformity_eqproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- uniformity_eq_comap_nhds_oneproof · cited by 11
- IsUniformGroup.of_left_rightproof · cited by 1
- comap_conj_nhds_oneproof · cited by 1
- IsUniformGroup.rightUniformSpace_eqproof · cited by 0
- uniformity_eq_comap_mul_inv_nhds_one_swappedproof · cited by 0