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Theorems · Theorem · Lie groups

AddMonoidHom.uniformContinuous_of_continuousAt_zero

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α]
  [inst_3 : UniformSpace β] [inst_4 : AddGroup β] [IsUniformAddGroup β] (f : α →+ β),
  ContinuousAt (⇑f) 0 → UniformContinuous ⇑f
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by
0 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceAddGroupIsUniformAddGroupUniformSpaceAddGroupIsUniformAddGroup
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DFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomUniformSpace · cited by 2040UniformSpaceContinuousAt · cited by 697ContinuousAtUniformContinuous · cited by 410UniformContinuousIsUniformAddGroup · cited by 342IsUniformAddGroupuniformContinuous_of_continuousAt_zero · cited by 11uniformContinuous_of_cont…AddMonoidHom.uniformContinuou…CITED BYCITES

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