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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.coprodSpec_inr

∀ (R S : Type u) [inst : CommRing R] [inst_1 : CommRing S],
  CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.coprod.inr (AlgebraicGeometry.coprodSpec R S) =
    AlgebraicGeometry.Spec.map (CommRingCat.ofHom (RingHom.snd R S))
Defined in
Mathlib.AlgebraicGeometry.Limits
Cited by
2 results in Mathlib
Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRing
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Around this declaration

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AlgebraicGeometry.coprodSpec_inr_assoc · cited by 0AlgebraicGeometry.coprodS…AlgebraicGeometry.isIso_stalkMap_coprodSpec · cited by 0AlgebraicGeometry.isIso_s…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCommRing · cited by 17173CommRingCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Functor.comp · cited by 6529Functor.compAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.Limits.WalkingPair · cited by 1319Limits.WalkingPairAlgebraicGeometry.Spec · cited by 626AlgebraicGeometry.SpecCategoryTheory.Limits.pair · cited by 536Limits.pairAlgebraicGeometry.Spec.map · cited by 332Spec.mapCommRingCat.ofHom · cited by 259CommRingCat.ofHomCategoryTheory.Limits.coprod · cited by 252Limits.coprodCategoryTheory.Limits.coprod.inr · cited by 132coprod.inrAlgebraicGeometry.coprodSpec_…CITED BYCITES

Cites20

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Cited by2

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