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Theorems · Theorem · general topology

UniformSpace.Completion.coe_smul

∀ {M : Type v} {X : Type x} [inst : UniformSpace X] [inst_1 : SMul M X] [UniformContinuousConstSMul M X] (c : M)
  (x : X), ↑(c • x) = c • ↑x
Defined in
Mathlib.Topology.Algebra.UniformMulAction
Cited by
1 results in Mathlib
Foundations
Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceSMulUniformContinuousConstSMul
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Around this declaration

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

IsDedekindDomain.HeightOneSpectrum.coe_smul_adicCompletion · cited by 0HeightOneSpectrum.coe_smu…UniformSpace · cited by 2040UniformSpaceUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.coe' · cited by 144Completion.coe'UniformContinuousConstSMul · cited by 27UniformContinuousConstSMulUniformSpace.Completion.map_coe · cited by 9Completion.map_coeUniformContinuousConstSMul.uniformContinuous_const_smul · cited by 4UniformContinuousConstSMu…Completion.coe_smulCITED BYCITES

Cites6

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Cited by1

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