Theorems · Theorem · Lie groups
IsLeftUniformAddGroup.uniformity_eq
∀ {G : Type u_7} {inst : UniformSpace G} {inst_1 : AddGroup G} [self : IsLeftUniformAddGroup G],
uniformity G = Filter.comap (fun x => -x.1 + x.2) (nhds 0)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsLeftUniformAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
Cited by1
Results whose statement or proof uses this declaration.
- uniformity_eq_comap_neg_add_nhds_zeroproof · cited by 4