Theorems · Theorem · Lie groups
ProfiniteAddGrp.limit_ext_iff
∀ {J : Type v} [inst : CategoryTheory.SmallCategory J] {F : CategoryTheory.Functor J ProfiniteAddGrp.{max v u}}
{x y : ↑(ProfiniteAddGrp.limit F).toProfinite.toTop}, x = y ↔ ∀ (j : J), ↑x j = ↑y j- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.SmallCategory
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- AddSubgroupstatement · cited by 3,232
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- ProfiniteAddGrp.toProfinitestatement and proof · cited by 31
- ProfiniteAddGrpstatement and proof · cited by 30
- ProfiniteAddGrp.limitstatement and proof · cited by 6
- ProfiniteAddGrp.limitConePtAuxstatement · cited by 6
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