Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Modules.inv_app
∀ {X : AlgebraicGeometry.Scheme} {M N : X.Modules} {φ : M ⟶ N} {U : X.Opens} [inst : CategoryTheory.IsIso φ],
AlgebraicGeometry.Scheme.Modules.Hom.app (CategoryTheory.inv φ) U =
CategoryTheory.inv (AlgebraicGeometry.Scheme.Modules.Hom.app φ U)- Defined in
- Mathlib.AlgebraicGeometry.Modules.Sheaf
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.IsIso
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Cites21
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
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