Theorems · Theorem · ring theory

StarAlgHom.ext_adjoin_singleton

∀ {F : Type u_1} {R : Type u_2} {A : Type u_3} {B : Type u_4} [inst : CommSemiring R] [inst_1 : StarRing R]
  [inst_2 : Semiring A] [inst_3 : Algebra R A] [inst_4 : StarRing A] [inst_5 : Semiring B] [inst_6 : Algebra R B]
  [inst_7 : StarRing B] [inst_8 : StarModule R A] {a : A} [inst_9 : FunLike F (↥(StarAlgebra.adjoin R {a})) B]
  [AlgHomClass F R (↥(StarAlgebra.adjoin R {a})) B] [StarHomClass F (↥(StarAlgebra.adjoin R {a})) B] {f g : F},
  f ⟨a, ⋯⟩ = g ⟨a, ⋯⟩ → f = g

Defined in

Mathlib.Algebra.Star.Subalgebra

Cited by

0 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarRingSemiringAlgebraStarRingSemiringAlgebraStarRingStarModuleFunLikeAlgHomClassStarHomClass