Theorems · Definition · algebraic geometry
AlgebraicGeometry.AffineScheme.forgetToScheme
CategoryTheory.Functor AlgebraicGeometry.AffineScheme AlgebraicGeometry.Scheme
The forgetful functor AffineScheme ⥤ Scheme.
- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CategoryTheory.ObjectProperty.ιproof · cited by 95
- CategoryTheory.Functor.essImageproof · cited by 82
- AlgebraicGeometry.Scheme.Specproof · cited by 57
- AlgebraicGeometry.AffineSchemestatement · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.AffineScheme.Γproof · cited by 2
- RingHom.IsStableUnderBaseChange.pullback_fst_appTopproof · cited by 2
- AlgebraicGeometry.AffineScheme.forgetToScheme_mapstatement and proof · cited by 1
- AlgebraicGeometry.AffineScheme.forgetToScheme_objstatement and proof · cited by 0
- AlgebraicGeometry.isPushout_appTop_of_isPullbackproof · cited by 0