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Theorems · Theorem · Lie groups

AddMonoidHom.completion_coe

∀ {α : Type u_3} {β : Type u_4} [inst : UniformSpace α] [inst_1 : AddGroup α] [inst_2 : IsUniformAddGroup α]
  [inst_3 : UniformSpace β] [inst_4 : AddGroup β] [inst_5 : IsUniformAddGroup β] (f : α →+ β) (hf : Continuous ⇑f)
  (a : α), (f.completion hf) ↑a = ↑(f a)
Defined in
Mathlib.Topology.Algebra.GroupCompletion
Cited by
2 results in Mathlib
Foundations
Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceAddGroupIsUniformAddGroupUniformSpaceAddGroupIsUniformAddGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddMonoidHom.completion_add · cited by 0AddMonoidHom.completion_a…AddMonoidHom.completion_zero · cited by 0AddMonoidHom.completion_z…DFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomContinuous · cited by 2592ContinuousUniformSpace · cited by 2040UniformSpaceIsUniformAddGroup · cited by 342IsUniformAddGroupUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.coe' · cited by 144Completion.coe'UniformSpace.Completion.map_coe · cited by 9Completion.map_coeAddMonoidHom.completion · cited by 7AddMonoidHom.completionuniformContinuous_addMonoidHom_of_continuous · cited by 7uniformContinuous_addMono…AddMonoidHom.completion_coeCITED BYCITES

Cites11

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Cited by2

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