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Theorems · Theorem · Lie groups

UniformContinuous.const_zsmul

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α]
  [inst_3 : UniformSpace β] {f : β → α}, UniformContinuous f → ∀ (n : ℤ), UniformContinuous fun x => n • f x
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by
1 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceAddGroupIsUniformAddGroupUniformSpace
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Around this declaration

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

uniformContinuous_const_zsmul · cited by 0uniformContinuous_const_z…AddGroup · cited by 4410AddGroupUniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousIsUniformAddGroup · cited by 342IsUniformAddGroupnatCast_zsmul · cited by 118natCast_zsmulnegSucc_zsmul · cited by 45negSucc_zsmulUniformContinuous.neg · cited by 3UniformContinuous.negUniformContinuous.const_nsmul · cited by 2UniformContinuous.const_n…UniformContinuous.const_zsmulCITED BYCITES

Cites8

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Cited by1

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