Theorems · Definition · algebraic topology
SSet.stdSimplex.const
(n : ℕ) → Fin (n + 1) → (m : SimplexCategoryᵒᵖ) → (SSet.stdSimplex.obj { len := n }).obj mThe (degenerate) m-simplex in the standard simplex concentrated in vertex k.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement and proof · cited by 8,081
- Opposite.unopproof · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement · cited by 1,283
- SimplexCategory.lenproof · cited by 542
- SSet.stdSimplexstatement · cited by 499
- OrderHom.constproof · cited by 8
- SSet.stdSimplex.objMkproof · cited by 5
Cited by9
Results whose statement or proof uses this declaration.
- SSet.stdSimplex.obj₀Equivproof · cited by 11
- SSet.stdSimplex.obj₀Equiv_symm_applystatement · cited by 5
- SSet.stdSimplex.toSSetObj_app_const_onestatement and proof · cited by 1
- SSet.stdSimplex.toSSetObj_app_const_zerostatement and proof · cited by 1
- SSet.stdSimplex.obj₀Equiv_symm_mem_face_iffproof · cited by 1
- SSet.stdSimplex.ι₀_whiskerLeft_toSSetObjI_μproof · cited by 1
- SSet.stdSimplex.ι₁_whiskerLeft_toSSetObjI_μproof · cited by 1
- SSet.stdSimplex.const_down_toOrderHomstatement · cited by 0
- SSet.horn.spineId_vertex_coestatement · cited by 0