Theorems · Theorem · commutative algebra

UniformSpace.Completion.algebraMap_def

∀ (A : Type u_2) [inst : Ring A] [inst_1 : UniformSpace A] [inst_2 : IsUniformAddGroup A] [inst_3 : IsTopologicalRing A]
  (R : Type u_3) [inst_4 : CommSemiring R] [inst_5 : Algebra R A] [inst_6 : UniformContinuousConstSMul R A] (r : R),
  (algebraMap R (UniformSpace.Completion A)) r = ↑((algebraMap R A) r)

Defined in

Mathlib.Topology.Algebra.UniformRing

Cited by

1 results in Mathlib

Foundations

Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingUniformSpaceIsUniformAddGroupIsTopologicalRingCommSemiringAlgebraUniformContinuousConstSMul