Theorems · Definition · algebraic topology
SSet.relativeCellComplexOfMono.t
{X Y : SSet} →
(i : X ⟶ Y) → (d : ℕ) → SSet.relativeCellComplexOfMono.sigmaBoundary i d ⟶ ((SSet.skeletonOfMono i) d).toSSetthe top morphism of the pushout square isPushout i d.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- OrderHomstatement · cited by 934
- SSet.Subcomplexstatement · cited by 461
- SSet.Subcomplex.toSSetstatement · cited by 315
- SSet.boundaryproof · cited by 141
- SSet.Subcomplex.ιproof · cited by 136
- CategoryTheory.Limits.Sigma.descproof · cited by 76
Cited by8
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMonoproof · cited by 14
- SSet.relativeCellComplexOfMono.wstatement and proof · cited by 3
- SSet.relativeCellComplexOfMono.Cell.ι_t_ι_eq_ι_l_b_ιstatement · cited by 2
- SSet.relativeCellComplexOfMono.isPullbackstatement and proof · cited by 1
- SSet.relativeCellComplexOfMono.w_assocstatement and proof · cited by 0
- SSet.relativeCellComplexOfMono.Cell.ι_t_ι_eq_ι_l_b_ι_assocstatement and proof · cited by 0
- SSet.relativeCellComplexOfMono_attachCells_g₁statement · cited by 0
- SSet.relativeCellComplexOfMono.isPushoutstatement · cited by 0