Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isomorphisms_eq_stalkwise
CategoryTheory.MorphismProperty.isomorphisms AlgebraicGeometry.Scheme =
(CategoryTheory.MorphismProperty.isomorphisms TopCat).inverseImage AlgebraicGeometry.Scheme.forgetToTop ⊓
AlgebraicGeometry.stalkwise fun {R S} [CommRing R] [CommRing S] f => Function.Bijective ⇑f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites38
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.Homproof · cited by 32,603
- TopologicalSpaceproof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- TopCat.carrierproof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- AlgebraicGeometry.PresheafedSpace.carrierproof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- TopCatstatement and proof · cited by 1,889
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