Theorems · Definition · Lie groups
UniformSpace.Completion.toCompl
{α : Type u_3} →
[inst : UniformSpace α] → [inst_1 : AddGroup α] → [inst_2 : IsUniformAddGroup α] → α →+ UniformSpace.Completion αThe map from a group to its completion as a group hom.
- Defined in
- Mathlib.Topology.Algebra.GroupCompletion
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement · cited by 3,230
- UniformSpacestatement and proof · cited by 2,040
- IsUniformAddGroupstatement and proof · cited by 342
- UniformSpace.Completionstatement · cited by 192
- UniformSpace.Completion.coe'proof · cited by 144
- UniformSpace.Completion.coe_addproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- AddMonoidHom.completionproof · cited by 7
- UniformSpace.Completion.toComplₗᵢproof · cited by 5
- UniformSpace.Completion.isDenseInducing_toComplstatement · cited by 3
- UniformSpace.Completion.toCompl_applystatement and proof · cited by 1
- summable_iff_summable_compl_and_tsum_memstatement · cited by 1
- hasSum_iff_hasSum_complstatement · cited by 1
- Summable.toCompl_tsumstatement and proof · cited by 0
- summable_iff_cauchySeq_finset_and_tsum_memstatement and proof · cited by 0
- UniformSpace.Completion.continuous_toComplstatement · cited by 0