Theorems · Theorem · Lie groups
uniformity_eq_comap_neg_add_nhds_zero
∀ (Gₗ : Type u_2) [inst : UniformSpace Gₗ] [inst_1 : AddGroup Gₗ] [IsLeftUniformAddGroup Gₗ], uniformity Gₗ = Filter.comap (fun x => -x.1 + x.2) (nhds 0)
- 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
- nhdsstatement · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- UniformSpacestatement and proof · cited by 2,040
- uniformitystatement · cited by 765
- Filter.comapstatement · cited by 546
- IsLeftUniformAddGroupstatement and proof · cited by 6
- IsLeftUniformAddGroup.uniformity_eqproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- uniformity_eq_comap_neg_add_nhds_zero_swappedproof · cited by 2
- TendstoUniformlyOn.eventually_forall_ltproof · cited by 1
- comap_addConj_nhds_zeroproof · cited by 1
- Filter.HasBasis.uniformity_of_nhds_zero_neg_addproof · cited by 0