Theorems · Theorem · ring theory

StarSubalgebra.coe_comap

∀ {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 : StarRing A] [inst_4 : Algebra R A] [inst_5 : StarModule R A] [inst_6 : Semiring B] [inst_7 : StarRing B]
  [inst_8 : Algebra R B] [inst_9 : StarModule R B] (S : StarSubalgebra R B) (f : A →⋆ₐ[R] B),
  ↑(StarSubalgebra.comap f S) = ⇑f ⁻¹' ↑S

Defined in

Mathlib.Algebra.Star.Subalgebra

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses no axioms

Assumes

CommSemiringStarRingSemiringStarRingAlgebraStarModuleSemiringStarRingAlgebraStarModule