Documentation

Atlas.AlgebraicGeometryI.code.Lec7GraphMorphism

def graphOfMorphism {X : Type u_1} {Y : Type u_2} (f : XY) :
Set (X × Y)

The graph of a function f : X → Y as the subset of X × Y of pairs (x, f x) (Lec 7, Def 18).

Instances For
    theorem graphOfMorphism_eq_range {X : Type u_1} {Y : Type u_2} (f : XY) :
    graphOfMorphism f = Set.range fun (x : X) => (x, f x)

    The graph of f coincides with the range of x ↦ (x, f x).