Theorems · Definition · algebraic topology
SSet.relativeCellComplexOfMono.Cell.simplex
{X Y : SSet} → {i : X ⟶ Y} → {d : ℕ} → SSet.relativeCellComplexOfMono.Cell i d → Y.obj (Opposite.op { len := d })a d-simplex in the target of the monomorphism
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.relativeCellComplexOfMono.Cellstatement and proof · cited by 29
Cited by13
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMono.Cell.mapproof · cited by 7
- SSet.relativeCellComplexCellsEquivproof · cited by 3
- SSet.relativeCellComplexOfMono.Cell.range_map_leproof · cited by 3
- SSet.relativeCellComplexOfMono.Cell.b_app_ι_app_objEquiv_symm_valstatement · cited by 2
- SSet.relativeCellComplexOfMono.Cell.extstatement and proof · cited by 2
- SSet.relativeCellComplexOfMono.Cell.nonDegeneratestatement · cited by 2
- SSet.relativeCellComplexOfMono.Cell.notMemstatement · cited by 1
- SSet.relativeCellComplexOfMono.Cell.preimage_mapproof · cited by 1
- SSet.relativeCellComplexCellsEquiv_applystatement · cited by 0
- SSet.relativeCellComplexCellsEquiv_symm_apply_k_simplexstatement and proof · cited by 0
- SSet.relativeCellComplexOfMono.Cell.ext_iffstatement and proof · cited by 0
- SSet.relativeCellComplexOfMono.Cell.mem_skeletonOfMono_obj_iffstatement and proof · cited by 0