Theorems · Definition · algebraic geometry
AlgebraicGeometry.IsImmersion.recOn
{X Y : AlgebraicGeometry.Scheme} →
{f : X ⟶ Y} →
{motive : AlgebraicGeometry.IsImmersion f → Sort u_1} →
(t : AlgebraicGeometry.IsImmersion f) →
([toIsPreimmersion : AlgebraicGeometry.IsPreimmersion f] →
(isLocallyClosed_range : IsLocallyClosed (Set.range ⇑f)) → motive ⋯) →
motive t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Set.rangestatement and proof · cited by 4,705
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- TopCatstatement · cited by 1,889
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