Theorems · Definition · algebraic topology
SSet.relativeCellComplexOfMono.b
{X Y : SSet} →
(i : X ⟶ Y) → (d : ℕ) → SSet.relativeCellComplexOfMono.sigmaStdSimplex i d ⟶ ((SSet.skeletonOfMono i) (d + 1)).toSSetthe bottom morphism of the pushout square isPushout i d.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- 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
- CategoryTheory.Limits.Sigma.descproof · cited by 76
- SSet.skeletonOfMonostatement · cited by 33
- SSet.relativeCellComplexOfMono.Cellproof · cited by 29
- SSet.relativeCellComplexOfMono.sigmaStdSimplexstatement · cited by 17
Cited by13
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMonoproof · cited by 14
- SSet.relativeCellComplexOfMono.wstatement and proof · cited by 3
- SSet.relativeCellComplexOfMono.Cell.b_app_ι_app_objEquiv_symm_valstatement and proof · cited by 2
- SSet.relativeCellComplexOfMono.Cell.ι_b_ιstatement · cited by 2
- SSet.relativeCellComplexOfMono.Cell.ι_t_ι_eq_ι_l_b_ιstatement · cited by 2
- SSet.relativeCellComplexOfMono.isPullbackstatement and proof · cited by 1
- SSet.relativeCellComplexOfMono.range_r_app_union_range_b_appstatement · cited by 1
- SSet.relativeCellComplexOfMono.sup_range_r_range_bstatement · cited by 1
- SSet.relativeCellComplexOfMono_attachCells_g₂statement · cited by 0
- SSet.relativeCellComplexOfMono.isPushoutstatement and proof · cited by 0
- SSet.relativeCellComplexOfMono.Cell.ι_b_ι_assocstatement and proof · cited by 0
- SSet.relativeCellComplexOfMono.w_assocstatement and proof · cited by 0