Theorems · Theorem · Lie groups
AddMonoidHom.continuous_extension
∀ {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] [inst_6 : CompleteSpace β]
[inst_7 : T0Space β] (f : α →+ β) (hf : Continuous ⇑f), Continuous ⇑(f.extension hf)- Defined in
- Mathlib.Topology.Algebra.GroupCompletion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement and proof · cited by 3,230
- Continuousstatement and proof · cited by 2,592
- CompleteSpacestatement and proof · cited by 2,532
- UniformSpacestatement and proof · cited by 2,040
- IsUniformAddGroupstatement and proof · cited by 342
- UniformSpace.Completionstatement · cited by 192
- T0Spacestatement and proof · cited by 179
- AddMonoidHom.extensionstatement · cited by 4
- UniformSpace.Completion.continuous_extensionproof · cited by 4
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