Theorems · Theorem · category theory
SSet.Quasicategory.hasLiftingProperty
∀ (S : SSet) [S.Quasicategory] {X : SSet} (t : CategoryTheory.Limits.IsTerminal X) {n : ℕ} {i : Fin (n + 1)},
0 < i → i < Fin.last n → CategoryTheory.HasLiftingProperty (SSet.horn n i).ι (t.from S)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.Quasicategory
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.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.stdSimplexstatement and proof · cited by 499
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- SSet.hornstatement and proof · cited by 162
- CategoryTheory.Limits.IsTerminal.fromstatement and proof · cited by 160
- CategoryTheory.CommSqproof · cited by 158
- CategoryTheory.Limits.IsTerminalstatement and proof · cited by 153
Cited by2
Results whose statement or proof uses this declaration.
- SSet.quasicategory_iff_hasLiftingPropertyproof · cited by 1
- SSet.Quasicategory.from_innerFibrationsproof · cited by 0