Theorems · Theorem · algebraic geometry

AlgebraicGeometry.AffineSpace.reindex_appTop_coord

∀ {n m : Type u} (i : m → n) (S : AlgebraicGeometry.Scheme) (j : m),
  (CategoryTheory.ConcreteCategory.hom
        (AlgebraicGeometry.Scheme.Hom.appTop (AlgebraicGeometry.AffineSpace.reindex i S)))
      (AlgebraicGeometry.AffineSpace.coord S j) =
    AlgebraicGeometry.AffineSpace.coord S (i j)

Defined in: Mathlib.AlgebraicGeometry.AffineSpace
Cited by: 3 results in Mathlib
Foundations: Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites23

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement · cited by 62,936
CategoryTheory.Functor.objstatement · cited by 19,642
RingHomstatement · cited by 10,189
Top.topstatement · cited by 9,680
Oppositestatement · cited by 8,081
CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
TopCat.carrierstatement · cited by 3,184
AlgebraicGeometry.Schemestatement and proof · cited by 2,540
CommRingCatstatement · cited by 2,333
TopologicalSpace.Opensstatement · cited by 2,040
AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988

Cited by3

Results whose statement or proof uses this declaration.

AlgebraicGeometry.AffineSpace.map_reindexproof · cited by 1
AlgebraicGeometry.AffineSpace.reindex_compproof · cited by 1
AlgebraicGeometry.AffineSpace.reindex_idproof · cited by 0