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Theorems · Theorem · commutative algebra

UniformSpace.Completion.mapRingHom_id

∀ {α : Type u_1} [inst : Ring α] [inst_1 : UniformSpace α] [inst_2 : IsTopologicalRing α]
  [inst_3 : IsUniformAddGroup α],
  UniformSpace.Completion.mapRingHom (RingHom.id α) ⋯ = RingHom.id (UniformSpace.Completion α)
Defined in
Mathlib.Topology.Algebra.UniformRing
Cited by
0 results in Mathlib
Foundations
Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingUniformSpaceIsTopologicalRingIsUniformAddGroup
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RingHom.id · cited by 18349RingHom.idRingHom · cited by 10189RingHomRing · cited by 7463RingUniformSpace · cited by 2040UniformSpaceIsTopologicalRing · cited by 402IsTopologicalRingIsUniformAddGroup · cited by 342IsUniformAddGroupcontinuous_id · cited by 192continuous_idUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.mapRingHom · cited by 6Completion.mapRingHomUniformSpace.Completion.map_id · cited by 2Completion.map_idCompletion.mapRingHom_idCITED BYCITES

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