Theorems · Theorem · algebraic geometry

AlgebraicGeometry.tilde.map_comp

∀ {R : CommRingCat} {M N P : ModuleCat ↑R} (f : M ⟶ N) (g : N ⟶ P),
  AlgebraicGeometry.tilde.map (CategoryTheory.CategoryStruct.comp f g) =
    CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.tilde.map f) (AlgebraicGeometry.tilde.map g)

Defined in: Mathlib.AlgebraicGeometry.Modules.Tilde
Cited by: 1 results in Mathlib
Foundations: Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites32

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

DFunLike.coeproof · cited by 62,936
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Functor.objproof · cited by 19,642
RingHom.idproof · cited by 18,349
CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
CategoryTheory.Iso.homproof · cited by 7,684
CategoryTheory.NatTrans.appproof · cited by 7,406
TopCat.carrierproof · cited by 3,184
CommRingCatstatement and proof · cited by 2,333
Opposite.unopproof · cited by 2,231
ModuleCatstatement and proof · cited by 1,429
AlgebraicGeometry.Scheme.Opensproof · cited by 1,149

Cited by1

Results whose statement or proof uses this declaration.

AlgebraicGeometry.tilde.map_comp_assocproof · cited by 0