Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isIso_stalkMap_coprodSpec
∀ (R S : Type u) [inst : CommRing R] [inst_1 : CommRing S] (x : ↥(AlgebraicGeometry.Spec (CommRingCat.of R) ⨿ AlgebraicGeometry.Spec (CommRingCat.of S))), CategoryTheory.IsIso (AlgebraicGeometry.Scheme.Hom.stalkMap (AlgebraicGeometry.coprodSpec R S) x)
- Defined in
- Mathlib.AlgebraicGeometry.Limits
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites51
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- CategoryTheory.Functor.mapstatement · cited by 8,698
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement · cited by 2,540
- ContinuousMapstatement · cited by 2,491
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