Theorems · Theorem · commutative algebra

IsLocalization.algHom_ext

∀ {R : Type u_1} {A : Type u_2} {L : Type u_3} {B : Type u_4} [inst : CommSemiring R] [inst_1 : CommSemiring A]
  [inst_2 : CommSemiring L] [inst_3 : Semiring B] (W : Submonoid A) [inst_4 : Algebra A L] [IsLocalization W L]
  [inst_6 : Algebra R A] [inst_7 : Algebra R L] [inst_8 : IsScalarTower R A L] [inst_9 : Algebra R B] {f g : L →ₐ[R] B},
  f.comp (Algebra.algHom R A L) = g.comp (Algebra.algHom R A L) → f = g

Defined in

Mathlib.RingTheory.Localization.Basic

Cited by

2 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringCommSemiringSemiringAlgebraIsLocalizationAlgebraAlgebraIsScalarTowerAlgebra