Theorems · Theorem · algebraic geometry
AlgebraicGeometry.one_def
∀ {R A : CommRingCat} [inst : Bialgebra ↑R ↑A],
CategoryTheory.MonObj.one =
CategoryTheory.CategoryStruct.comp (CategoryTheory.Functor.LaxMonoidal.ε (AlgebraicGeometry.algSpec R))
((AlgebraicGeometry.algSpec R).map CategoryTheory.MonObj.one)- Defined in
- Mathlib.AlgebraicGeometry.Group.Affine
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Bialgebra
Around this declaration
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functor.mapstatement · cited by 8,698
- Oppositestatement · cited by 8,081
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CommRingCatstatement and proof · cited by 2,333
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.Equivalence.functorstatement · cited by 1,268
- CommRingCat.carrierstatement and proof · cited by 1,096
- CategoryTheory.Overstatement · cited by 935
- AlgebraicGeometry.Specstatement · cited by 626
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