Theorems · Theorem · algebraic topology
SSet.Subcomplex.toRange_app_val
∀ {X Y : SSet} (f : X ⟶ Y) {Δ : SimplexCategoryᵒᵖ} (x : X.obj Δ),
↑((CategoryTheory.ConcreteCategory.hom ((SSet.Subcomplex.toRange f).app Δ)) x) =
(CategoryTheory.ConcreteCategory.hom (f.app Δ)) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- SimplexCategorystatement and proof · cited by 2,204
- TypeCat.Funstatement · cited by 1,307
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplex.toSSetstatement · cited by 315
- CategoryTheory.Subfunctor.objstatement · cited by 227
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