Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.isSeparated_iff
∀ (X : AlgebraicGeometry.Scheme), X.IsSeparated ↔ AlgebraicGeometry.IsSeparated (CategoryTheory.Limits.terminal.from X)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 146 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.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Limits.terminalstatement · cited by 141
- CategoryTheory.Limits.terminal.fromstatement and proof · cited by 77
- AlgebraicGeometry.IsSeparatedstatement and proof · cited by 31
- AlgebraicGeometry.Scheme.IsSeparatedstatement and proof · cited by 7
- AlgebraicGeometry.Scheme.IsSeparated.casesOnproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.isSeparated_iff_isClosedImmersion_prod_liftproof · cited by 0