Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Hom.appLE_map_assoc

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

Defined in

Mathlib.AlgebraicGeometry.Scheme

Cited by

4 results in Mathlib

Foundations

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