ProfiniteGrp.ProfiniteCompletion.homEquiv

(G : GrpCat) →
  (P : ProfiniteGrp.{u}) → (ProfiniteGrp.ProfiniteCompletion.completion G ⟶ P) ≃ (G ⟶ GrpCat.of ↑P.toProfinite.toTop)

The hom-set equivalence exhibiting the adjunction.

Defined in: Mathlib.Topology.Algebra.Category.ProfiniteGrp.Completion
Cited by: 0 results in Mathlib
Foundations: Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

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