Theorems · Definition · algebraic topology
SSet.stdSimplex.objMk
{n : SimplexCategory} →
{m : SimplexCategoryᵒᵖ} → (Fin ((Opposite.unop m).len + 1) →o Fin (n.len + 1)) → (SSet.stdSimplex.obj n).obj mConstructor for simplices of the standard simplex which takes a OrderHom as an input.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Equiv.symmproof · cited by 3,681
- Opposite.unopstatement and proof · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement · cited by 1,283
- OrderHomstatement and proof · cited by 934
- SimplexCategory.lenstatement and proof · cited by 542
- SSet.stdSimplexstatement · cited by 499
- SSet.stdSimplex.objEquivproof · cited by 59
- SimplexCategory.Hom.mkproof · cited by 15
Cited by11
Results whose statement or proof uses this declaration.
- SSet.stdSimplex.objMk₁proof · cited by 13
- SSet.stdSimplex.constproof · cited by 8
- SSet.stdSimplex.triangleproof · cited by 3
- SSet.stdSimplex.face_eq_ofSimplexstatement and proof · cited by 3
- SSet.stdSimplex.edgeproof · cited by 3
- SSet.boundary_lt_topproof · cited by 2
- SSet.stdSimplex.faceRepresentableByproof · cited by 1
- SSet.stdSimplex.notMem_boundarystatement and proof · cited by 1
- SSet.stdSimplex.objMk_applystatement · cited by 0
- SSet.stdSimplex.objMk_bijectivestatement · cited by 0
- SSet.Augmented.StandardSimplex.extraDegeneracyproof · cited by 0