Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Cover.LocallyDirected.w

∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} {X : AlgebraicGeometry.Scheme}
  {𝒰 : AlgebraicGeometry.Scheme.Cover (AlgebraicGeometry.Scheme.precoverage P) X}
  {inst : CategoryTheory.Category.{v_1, u_1} 𝒰.I₀} [self : 𝒰.LocallyDirected] {i j : 𝒰.I₀} (hij : i ⟶ j),
  CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Cover.LocallyDirected.trans hij) (𝒰.f j) = 𝒰.f i

Defined in

Mathlib.AlgebraicGeometry.Cover.Directed

Cited by

2 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AlgebraicGeometry.Scheme.Cover.LocallyDirected