Theorems · Definition · algebraic geometry
AlgebraicGeometry.emptyIsInitial
CategoryTheory.Limits.IsInitial ∅
The empty scheme is the initial object in the category of schemes.
- Defined in
- Mathlib.AlgebraicGeometry.Limits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CategoryTheory.Limits.IsInitialstatement · cited by 158
- CategoryTheory.Limits.IsInitial.ofUniqueproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isInitialOfIsEmptyproof · cited by 2
- AlgebraicGeometry.specPUnitIsInitialproof · cited by 1
- AlgebraicGeometry.emptyIsInitial_tostatement · cited by 0