Theorems · Theorem · algebraic topology
SSet.relativeCellComplexOfMono.w
∀ {X Y : SSet} (i : X ⟶ Y) (d : ℕ),
CategoryTheory.CategoryStruct.comp (SSet.relativeCellComplexOfMono.t i d) (SSet.relativeCellComplexOfMono.r i d) =
CategoryTheory.CategoryStruct.comp (SSet.relativeCellComplexOfMono.l i d) (SSet.relativeCellComplexOfMono.b i d)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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 and proof · 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 and proof · cited by 461
- CategoryTheory.cancel_monoproof · cited by 435
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- CategoryTheory.Discrete.asproof · cited by 269
Cited by3
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMono.isPullbackproof · cited by 1
- SSet.relativeCellComplexOfMono.isPushoutproof · cited by 0
- SSet.relativeCellComplexOfMono.w_assocproof · cited by 0