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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.UniversallyInjective.iff_diagonal

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y),
  AlgebraicGeometry.UniversallyInjective f ↔ AlgebraicGeometry.Surjective (CategoryTheory.Limits.pullback.diagonal f)
Defined in
Mathlib.AlgebraicGeometry.Morphisms.UniversallyInjective
Cited by
1 results in Mathlib
Foundations
Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.tfae_universallyInjective · cited by 0AlgebraicGeometry.tfae_un…Quiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.Limits.pullback.diagonalObj · cited by 80pullback.diagonalObjCategoryTheory.Limits.pullback.diagonal · cited by 67pullback.diagonalAlgebraicGeometry.Surjective · cited by 48AlgebraicGeometry.Surject…AlgebraicGeometry.UniversallyInjective · cited by 8AlgebraicGeometry.Univers…AlgebraicGeometry.universallyInjective_eq_diagonal · cited by 2AlgebraicGeometry.univers…UniversallyInjective.iff_diag…CITED BYCITES

Cites7

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Cited by1

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