Theorems · Definition · ring theory

StarSubalgebra.toSubalgebra

{R : Type u} →
  {A : Type v} →
    [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] → StarSubalgebra R A → Subalgebra R A

Forgetting that a \-subalgebra is closed under \.

Defined in

Mathlib.Algebra.Star.Subalgebra

Cited by

58 results in Mathlib

Foundations

Depth 12 from the axioms · uses no axioms

Assumes

CommSemiringStarRingSemiringStarRingAlgebraStarModule