Theorems · Theorem · algebraic topology
SSet.relativeCellComplexOfMono.w_assoc
∀ {X Y : SSet} (i : X ⟶ Y) (d : ℕ) {Z : SSet} (h : ((SSet.skeletonOfMono i) (d + 1)).toSSet ⟶ Z),
CategoryTheory.CategoryStruct.comp (SSet.relativeCellComplexOfMono.t i d)
(CategoryTheory.CategoryStruct.comp (SSet.relativeCellComplexOfMono.r i d) h) =
CategoryTheory.CategoryStruct.comp (SSet.relativeCellComplexOfMono.l i d)
(CategoryTheory.CategoryStruct.comp (SSet.relativeCellComplexOfMono.b i d) h)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- Oppositestatement · cited by 8,081
- CategoryTheory.Category.assocproof · cited by 6,433
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- OrderHomstatement · cited by 934
- SSet.Subcomplexstatement · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- SSet.skeletonOfMonostatement and proof · cited by 33
- SSet.relativeCellComplexOfMono.sigmaStdSimplexstatement · cited by 17
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