Theorems · Theorem · algebraic geometry
AlgebraicGeometry.coprodSpec_inr_assoc
∀ (R S : Type u) [inst : CommRing R] [inst_1 : CommRing S] {Z : AlgebraicGeometry.Scheme}
(h : AlgebraicGeometry.Spec (CommRingCat.of (R × S)) ⟶ Z),
CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.coprod.inr
(CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.coprodSpec R S) h) =
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Spec.map (CommRingCat.ofHom (RingHom.snd R S))) h- Defined in
- Mathlib.AlgebraicGeometry.Limits
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functor.mapstatement · cited by 8,698
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Category.assocproof · cited by 6,433
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- AlgebraicGeometry.Specstatement and proof · cited by 626
- CategoryTheory.Limits.pairstatement · cited by 536
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