Module

EqualizerScalars.lean

Nyll.SchemeTheory.Descent.EqualizerScalars
1 declaration indexed from sourceView source ↗

The forward scalar-restriction computation

This Nyll lemma computes the forward map of pi1's equalizer scalar comparison. The comparison itself and its upstream notices remain in the imported Pi1 module.

Declarations

AlgHom.equalizerRestrictScalars_apply
Source context 4 commands

Surrounding namespaces, section variables, and local commands at this declaration.

@[expose] public section
universe u
variable {R S A B : Type u} [CommRing R] [CommRing S] [CommRing A] [CommRing B]
  [Algebra R A] [Algebra R S] [Algebra R B]
namespace Algebra
lemma _root_.AlgHom.equalizerRestrictScalars_apply [Algebra S A] [Algebra S B]
    [IsScalarTower R S A] [IsScalarTower R S B]
    (f g : A →ₐ[S] B) (x) :
    AlgHom.equalizerRestrictScalars R f g x = x