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Theorems · Theorem · Lie groups

ProfiniteGrp.Hom.ext

∀ {A B : ProfiniteGrp.{u}} {x y : A.Hom B}, x.hom' = y.hom' → x = y
Defined in
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProfiniteGrp.hom_ext · cited by 2ProfiniteGrp.hom_extProfiniteGrp.Hom.ext_iff · cited by 0Hom.ext_iffTopCat.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 2Hom.hom'ProfiniteGrp.Hom · cited by 2ProfiniteGrp.HomHom.extCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.