Theorems · Theorem · category theory

CategoryTheory.nerve.ext_of_isThin

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [Quiver.IsThin C] {n : SimplexCategoryᵒᵖ}
  {x y : (CategoryTheory.nerve C).obj n}, x.obj = y.obj → x = y

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Nerve

Cited by

2 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryQuiver.IsThin