Theorems · Theorem · Lie groups

AddMonoidHom.completion.congr_simp

∀ {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 f_1 : α →+ β) (e_f : f = f_1)
  (hf : Continuous ⇑f), f.completion hf = f_1.completion ⋯

Defined in: Mathlib.Topology.Algebra.GroupCompletion
Cited by: 0 results in Mathlib
Foundations: Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: UniformSpace AddGroup IsUniformAddGroup UniformSpace AddGroup IsUniformAddGroup

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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
UniformSpacestatement and proof · cited by 2,040
IsUniformAddGroupstatement and proof · cited by 342
UniformSpace.Completionstatement · cited by 192
AddMonoidHom.completionstatement and proof · cited by 7

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