Theorems · Definition · algebraic geometry
AlgebraicGeometry.tilde.functor
(R : CommRingCat) → CategoryTheory.Functor (ModuleCat ↑R) (AlgebraicGeometry.Spec (CommRingCat.of ↑R)).Modules
Tilde as a functor
- Defined in
- Mathlib.AlgebraicGeometry.Modules.Tilde
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- CommRingCatstatement and proof · cited by 2,333
- ModuleCatstatement and proof · cited by 1,429
- CommRingCat.carrierstatement and proof · cited by 1,096
- AlgebraicGeometry.Specstatement · cited by 626
- AlgebraicGeometry.Scheme.Modulesstatement · cited by 108
- AlgebraicGeometry.tildeproof · cited by 24
- AlgebraicGeometry.tilde.mapproof · cited by 11
Cited by19
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.tildeEquivproof · cited by 4
- AlgebraicGeometry.tildeFinsuppproof · cited by 1
- AlgebraicGeometry.tilde.adjunctionstatement · cited by 1
- AlgebraicGeometry.isIso_fromTildeΓ_iffstatement · cited by 1
- AlgebraicGeometry.tilde.toTildeΓNatIsostatement · cited by 1
- AlgebraicGeometry.tildeEquiv_unitIsostatement · cited by 0
- AlgebraicGeometry.tilde.fullyFaithfulFunctorstatement · cited by 0
- AlgebraicGeometry.tilde.functor_mapstatement and proof · cited by 0
- AlgebraicGeometry.tilde.functor_objstatement and proof · cited by 0
- AlgebraicGeometry.tilde.map_addproof · cited by 0
- AlgebraicGeometry.presentationTildeproof · cited by 0
- AlgebraicGeometry.tilde.map_negproof · cited by 0