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Theorems · Theorem · category theory

CategoryTheory.SimplicialThickening.functor_map

∀ {J K : Type u} [inst : LinearOrder J] [inst_1 : LinearOrder K] (f : J →o K)
  (i j : CategoryTheory.SimplicialThickening J),
  (CategoryTheory.SimplicialThickening.functor f).map i j =
    CategoryTheory.nerveMap (CategoryTheory.SimplicialThickening.functorMap f i j)
Defined in
Mathlib.AlgebraicTopology.SimplicialNerve
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderLinearOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.SimplicialThickening.functor_comp · cited by 0SimplicialThickening.func…CategoryTheory.SimplicialThickening.functor_id · cited by 0SimplicialThickening.func…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomLinearOrder · cited by 8572LinearOrderOpposite · cited by 8081OppositeSimplexCategory · cited by 2204SimplexCategorySSet · cited by 1283SSetOrderHom · cited by 934OrderHomCategoryTheory.nerve · cited by 68CategoryTheory.nerveCategoryTheory.EnrichedFunctor.map · cited by 26EnrichedFunctor.mapCategoryTheory.SimplicialThickening · cited by 16CategoryTheory.Simplicial…CategoryTheory.nerveMap · cited by 12CategoryTheory.nerveMapCategoryTheory.SimplicialThickening.as · cited by 7SimplicialThickening.asCategoryTheory.SimplicialThickening.functor · cited by 4SimplicialThickening.func…CategoryTheory.SimplicialThickening.functorMap · cited by 3SimplicialThickening.func…SimplicialThickening.functor_…CITED BYCITES

Cites14

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Cited by2

Results whose statement or proof uses this declaration.