Theorems · Theorem · category theory
Profinite.lift_lifts_assoc
∀ {X Y : Profinite} {Z : Stonean} (e : Stonean.toProfinite.obj Z ⟶ Y) (f : X ⟶ Y) [inst : CategoryTheory.Epi f]
{Z_1 : Profinite} (h : Y ⟶ Z_1),
CategoryTheory.CategoryStruct.comp (Profinite.lift e f) (CategoryTheory.CategoryStruct.comp f h) =
CategoryTheory.CategoryStruct.comp e h- Defined in
- Mathlib.Topology.Category.Stonean.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Epi
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.Epistatement and proof · cited by 688
- TotallyDisconnectedSpacestatement · cited by 295
- Profinitestatement and proof · cited by 75
- ExtremallyDisconnectedstatement · cited by 23
- Stoneanstatement and proof · cited by 19
- Profinite.liftstatement and proof · cited by 3
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