Mathlib Map

Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.PartialMap.comp_assoc

∀ {X₁ X₂ X₃ Y : AlgebraicGeometry.Scheme} [inst : PreirreducibleSpace ↥X₁] [inst_1 : IrreducibleSpace ↥X₂]
  [inst_2 : Nonempty ↥X₃] (f : X₁.PartialMap X₂) [inst_3 : AlgebraicGeometry.IsDominant f.hom] (g : X₂.PartialMap X₃)
  [inst_4 : AlgebraicGeometry.IsDominant g.hom] (h : X₃.PartialMap Y), (f.comp g).comp h = f.comp (g.comp h)
Defined in
Mathlib.AlgebraicGeometry.Birational.Composition
Cited by
0 results in Mathlib
Foundations
Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PreirreducibleSpaceIrreducibleSpaceNonemptyAlgebraicGeometry.IsDominantAlgebraicGeometry.IsDominant

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites54

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.