Mathlib Map

Theorems · Theorem · category theory

SimplexCategory.morphismProperty_eq_top

∀ (W : CategoryTheory.MorphismProperty SimplexCategory) [W.IsMultiplicative],
  (∀ {n : ℕ} (i : Fin (n + 2)), W (SimplexCategory.δ i)) →
    (∀ {n : ℕ} (i : Fin (n + 1)), W (SimplexCategory.σ i)) → W = ⊤
Defined in
Mathlib.AlgebraicTopology.SimplexCategory.MorphismProperty
Cited by
0 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.MorphismProperty.IsMultiplicative
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.Hom · cited by 32603Quiver.HomTop.top · cited by 9680Top.topSimplexCategory · cited by 2204SimplexCategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…SimplexCategory.len · cited by 542SimplexCategory.lenCategoryTheory.MorphismProperty.IsMultiplicative · cited by 332MorphismProperty.IsMultip…SimplexCategory.Truncated · cited by 236SimplexCategory.TruncatedSimplexCategory.δ · cited by 146SimplexCategory.δCategoryTheory.MorphismProperty.inverseImage · cited by 83MorphismProperty.inverseI…SimplexCategory.σ · cited by 78SimplexCategory.σCategoryTheory.MorphismProperty.ext · cited by 61MorphismProperty.extSimplexCategory.Truncated.Hom.tr · cited by 43Hom.trSimplexCategory.Truncated.inclusion · cited by 22Truncated.inclusionSimplexCategory.Truncated.morphismProperty_eq_top · cited by 2Truncated.morphismPropert…SimplexCategory.morphismPrope…CITED BYCITES

Cites14

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.