Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsClosedImmersion.isIso_lift
∀ {Z₁ Z₂ X : AlgebraicGeometry.Scheme} (i₁ : Z₁ ⟶ X) (i₂ : Z₂ ⟶ X) [inst : AlgebraicGeometry.IsClosedImmersion i₁]
[AlgebraicGeometry.IsClosedImmersion i₂]
(h : AlgebraicGeometry.Scheme.Hom.ker i₁ = AlgebraicGeometry.Scheme.Hom.ker i₂),
CategoryTheory.IsIso (AlgebraicGeometry.IsClosedImmersion.lift i₁ i₂ ⋯)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.IsIsostatement · cited by 1,156
- Eq.lestatement and proof · cited by 605
- AlgebraicGeometry.Scheme.IdealSheafDatastatement · cited by 192
- AlgebraicGeometry.Scheme.Hom.kerstatement and proof · cited by 51
- AlgebraicGeometry.IsClosedImmersionstatement and proof · cited by 49
- AlgebraicGeometry.IsClosedImmersion.liftstatement and proof · cited by 5
- AlgebraicGeometry.IsClosedImmersion.lift_facproof · cited by 4
- AlgebraicGeometry.IsClosedImmersion.isIso_of_ker_eqproof · cited by 2
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