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Theorems · Theorem · general topology

SeparationQuotient.outCLM_isUniformInducing

∀ (K : Type u_1) (E : Type u_2) [inst : DivisionRing K] [inst_1 : AddCommGroup E] [inst_2 : Module K E]
  [inst_3 : UniformSpace E] [inst_4 : IsUniformAddGroup E] [inst_5 : ContinuousConstSMul K E],
  IsUniformInducing ⇑(SeparationQuotient.outCLM K E)
Defined in
Mathlib.Topology.Algebra.SeparationQuotient.Section
Cited by
2 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRingAddCommGroupModuleUniformSpaceIsUniformAddGroupContinuousConstSMul
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Around this declaration

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

SeparationQuotient.outCLM_isUniformEmbedding · cited by 0SeparationQuotient.outCLM…SeparationQuotient.outCLM_uniformContinuous · cited by 0SeparationQuotient.outCLM…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommGroup · cited by 12871AddCommGroupContinuousLinearMap · cited by 5352ContinuousLinearMapUniformSpace · cited by 2040UniformSpaceDivisionRing · cited by 1062DivisionRingContinuousConstSMul · cited by 832ContinuousConstSMulIsUniformAddGroup · cited by 342IsUniformAddGroupIsUniformInducing · cited by 128IsUniformInducingSeparationQuotient · cited by 128SeparationQuotientSeparationQuotient.outCLM · cited by 11SeparationQuotient.outCLMIsUniformInducing.of_comp_iff · cited by 10IsUniformInducing.of_comp…SeparationQuotient.isUniformInducing_mk · cited by 8SeparationQuotient.isUnif…SeparationQuotient.mk_comp_outCLM · cited by 1SeparationQuotient.mk_com…SeparationQuotient.outCLM_isU…CITED BYCITES

Cites16

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Cited by2

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