Theorems · Definition · algebraic geometry
AlgebraicGeometry.hopfSpec.fullyFaithful
{R : CommRingCat} → (AlgebraicGeometry.hopfSpec R).FullyFaithfulSpec is fully faithful on R-Hopf algebras, with inverse Gamma.
- Defined in
- Mathlib.AlgebraicGeometry.Group.Affine
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CommRingCatstatement and proof · cited by 2,333
- CommRingCat.carrierstatement and proof · cited by 1,096
- CategoryTheory.Overstatement · cited by 935
- AlgebraicGeometry.Specstatement · cited by 626
- CategoryTheory.Grpstatement · cited by 144
- CategoryTheory.Functor.FullyFaithfulstatement · cited by 87
- CommHopfAlgCatstatement · cited by 38
- CategoryTheory.Equivalence.fullyFaithfulFunctorproof · cited by 17
- commHopfAlgCatEquivCogrpCommAlgCatproof · cited by 6
- CategoryTheory.Functor.FullyFaithful.compproof · cited by 2
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