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Theorems · Definition · category theory

CategoryTheory.SimplicialThickening.as

{J : Type u_1} → [inst : LinearOrder J] → CategoryTheory.SimplicialThickening J → J

The underlying object of the linear order.

Defined in
Mathlib.AlgebraicTopology.SimplicialNerve
Cited by
7 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
LinearOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.SimplicialThickening.functor · cited by 4SimplicialThickening.func…CategoryTheory.SimplicialThickening.functorMap · cited by 3SimplicialThickening.func…CategoryTheory.SimplicialThickening.functor_map · cited by 2SimplicialThickening.func…CategoryTheory.SimplicialThickening.hom_ext · cited by 2SimplicialThickening.hom_…CategoryTheory.SimplicialThickening.functor_obj_as · cited by 0SimplicialThickening.func…CategoryTheory.SimplicialThickening.hom_ext_iff · cited by 0SimplicialThickening.hom_…CategoryTheory.SimplicialThickening.id_I · cited by 0SimplicialThickening.id_ICategoryTheory.SimplicialThickening.orderHom · cited by 0SimplicialThickening.orde…CategoryTheory.SimplicialThickening.comp_I · cited by 0SimplicialThickening.comp…CategoryTheory.SimplicialThickening.functor_comp · cited by 0SimplicialThickening.func…LinearOrder · cited by 8572LinearOrderCategoryTheory.SimplicialThickening · cited by 16CategoryTheory.Simplicial…SimplicialThickening.asCITED BYCITES

Cites2

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

Cited by10

Results whose statement or proof uses this declaration.