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Theorems · Theorem · Lie groups

ProfiniteGrp.coe_comp

∀ {X Y Z : ProfiniteGrp.{u_1}} (f : X ⟶ Y) (g : Y ⟶ Z),
  ⇑(ProfiniteGrp.Hom.hom (CategoryTheory.CategoryStruct.comp f g)) =
    ⇑(ProfiniteGrp.Hom.hom g) ∘ ⇑(ProfiniteGrp.Hom.hom f)
Defined in
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
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Foundations
Depth 22 from the axioms · uses propext, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compTopCat.carrier · cited by 3184TopCat.carrierTopCat · cited by 1889TopCatTotallyDisconnectedSpace · cited by 295TotallyDisconnectedSpaceCompHausLike.toTop · cited by 258CompHausLike.toTopContinuousMonoidHom · cited by 104ContinuousMonoidHomProfiniteGrp.toProfinite · cited by 51ProfiniteGrp.toProfiniteProfiniteGrp · cited by 47ProfiniteGrpProfiniteGrp.Hom.hom · cited by 20Hom.homProfiniteGrp.coe_compCITED BYCITES

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