Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isomorphisms_eq_isOpenImmersion_inf_surjective
CategoryTheory.MorphismProperty.isomorphisms AlgebraicGeometry.Scheme = AlgebraicGeometry.IsOpenImmersion ⊓ @AlgebraicGeometry.Surjective
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- AlgebraicGeometry.IsOpenImmersionstatement and proof · cited by 476
- CategoryTheory.MorphismProperty.isomorphismsstatement and proof · cited by 66
- CategoryTheory.MorphismProperty.extproof · cited by 61
- AlgebraicGeometry.Surjectivestatement and proof · cited by 48
- CategoryTheory.MorphismProperty.isomorphisms.iffproof · cited by 6
- AlgebraicGeometry.isIso_iff_isOpenImmersion_and_surjectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isomorphisms_eq_stalkwiseproof · cited by 0