Theorems · Theorem · Lie groups
Filter.Tendsto.uniformity_neg
∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α] {ι : Type u_3} {f : ι → α × α}
{l : Filter ι}, Filter.Tendsto f l (uniformity α) → Filter.Tendsto (-f) l (uniformity α)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 77 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 and proof · cited by 8,121
- AddGroupstatement and proof · cited by 4,410
- Filter.Tendstostatement and proof · cited by 3,814
- UniformSpacestatement and proof · cited by 2,040
- uniformitystatement and proof · cited by 765
- Filter.Tendsto.compproof · cited by 560
- IsUniformAddGroupstatement and proof · cited by 342
- uniformContinuous_negproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- Filter.Tendsto.uniformity_subproof · cited by 0
- Filter.Tendsto.uniformity_neg_iffproof · cited by 0
- Filter.Tendsto.uniformity_add_iff_leftproof · cited by 0
- Filter.Tendsto.uniformity_add_iff_rightproof · cited by 0