Theorems · Theorem · algebraic geometry
Module.Grassmannian.functor_map
∀ {R : Type u} [inst : CommRing R] {M : Type v} [inst_1 : AddCommGroup M] [inst_2 : Module R M] (k : ℕ)
{X Y : CommAlgCat R} (f : X ⟶ Y),
(Module.Grassmannian.functor k).map f = TypeCat.ofHom (Module.Grassmannian.map (CommAlgCat.Hom.hom f))- Defined in
- Mathlib.RingTheory.Grassmannian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- TensorProductstatement · cited by 2,545
- TypeCat.ofHomstatement · cited by 389
- CommAlgCatstatement and proof · cited by 96
- CommAlgCat.carrierstatement · cited by 77
- CommAlgCat.Hom.homstatement · cited by 39
- Module.Grassmannianstatement · cited by 11
- Module.Grassmannian.mapstatement · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.