Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Hom.map_appLE_assoc

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) {U U' : Y.Opens} {V : X.Opens}
  (e : V ≤ (TopologicalSpace.Opens.map f.base).obj U) (i : Opposite.op U' ⟶ Opposite.op U) {Z : CommRingCat}
  (h : X.presheaf.obj (Opposite.op V) ⟶ Z),
  CategoryTheory.CategoryStruct.comp (Y.presheaf.map i)
      (CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Hom.appLE f U V e) h) =
    CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Hom.appLE f U' V ⋯) h

Defined in

Mathlib.AlgebraicGeometry.Scheme

Cited by

2 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound