Theorems · Theorem · commutative algebra

UniformSpace.Completion.mapRingEquiv_symm_apply

∀ {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) (hf' : Continuous ⇑f.symm) (a : UniformSpace.Completion β),
  (UniformSpace.Completion.mapRingEquiv f hf hf').symm a = UniformSpace.Completion.map (⇑f.symm) a

Defined in

Mathlib.Topology.Algebra.UniformRing

Cited by

0 results in Mathlib

Foundations

Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingUniformSpaceIsTopologicalRingIsUniformAddGroupUniformSpaceRingIsUniformAddGroupIsTopologicalRing