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Theorems · Theorem · Lie groups

ProfiniteAddGrp.ofHom_id

∀ {X : Type u} [inst : AddGroup X] [inst_1 : TopologicalSpace X] [inst_2 : IsTopologicalAddGroup X]
  [inst_3 : CompactSpace X] [inst_4 : TotallyDisconnectedSpace X],
  ProfiniteAddGrp.ofHom (ContinuousAddMonoidHom.id X) = CategoryTheory.CategoryStruct.id (ProfiniteAddGrp.of X)
Defined in
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
Cited by
0 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupTopologicalSpaceIsTopologicalAddGroupCompactSpaceTotallyDisconnectedSpace
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Quiver.Hom · cited by 32603Quiver.HomTopologicalSpace · cited by 24529TopologicalSpaceCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idAddGroup · cited by 4410AddGroupIsTopologicalAddGroup · cited by 1394IsTopologicalAddGroupCompactSpace · cited by 593CompactSpaceTotallyDisconnectedSpace · cited by 295TotallyDisconnectedSpaceProfiniteAddGrp · cited by 30ProfiniteAddGrpProfiniteAddGrp.of · cited by 6ProfiniteAddGrp.ofProfiniteAddGrp.ofHom · cited by 5ProfiniteAddGrp.ofHomContinuousAddMonoidHom.id · cited by 5ContinuousAddMonoidHom.idProfiniteAddGrp.ofHom_idCITED BYCITES

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