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Theorems · Theorem · commutative algebra

UniformSpace.Completion.mapRingHom_coe

∀ {α : Type u_1} [inst : Ring α] [inst_1 : UniformSpace α] [inst_2 : IsTopologicalRing α] [inst_3 : IsUniformAddGroup α]
  {β : Type u} [inst_4 : UniformSpace β] [inst_5 : Ring β] [inst_6 : IsUniformAddGroup β] [inst_7 : IsTopologicalRing β]
  {f : α →+* β} (hf : Continuous ⇑f) (a : α), (UniformSpace.Completion.mapRingHom f hf) ↑a = ↑(f a)
Defined in
Mathlib.Topology.Algebra.UniformRing
Cited by
1 results in Mathlib
Foundations
Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingUniformSpaceIsTopologicalRingIsUniformAddGroupUniformSpaceRingIsUniformAddGroupIsTopologicalRing
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Around this declaration

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

Isometry.mapRingHom_coe · cited by 2Isometry.mapRingHom_coeDFunLike.coe · cited by 62936DFunLike.coeRingHom · cited by 10189RingHomRing · cited by 7463RingContinuous · cited by 2592ContinuousUniformSpace · cited by 2040UniformSpaceIsTopologicalRing · cited by 402IsTopologicalRingIsUniformAddGroup · cited by 342IsUniformAddGroupUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.coe' · cited by 144Completion.coe'UniformSpace.Completion.map_coe · cited by 9Completion.map_coeuniformContinuous_addMonoidHom_of_continuous · cited by 7uniformContinuous_addMono…UniformSpace.Completion.mapRingHom · cited by 6Completion.mapRingHomUniformSpace.Completion.mapRingHom_apply · cited by 1Completion.mapRingHom_app…Completion.mapRingHom_coeCITED BYCITES

Cites13

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Cited by1

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