Theorems · Definition · ring theory

StarSubalgebra.copy

{R : Type u_2} →
  {A : Type u_3} →
    [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] → (S : StarSubalgebra R A) → (s : Set A) → s = ↑S → StarSubalgebra R A

Copy of a star subalgebra with a new carrier equal to the old one. Useful to fix definitional equalities.

Defined in

Mathlib.Algebra.Star.Subalgebra

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext

Assumes

CommSemiringStarRingSemiringStarRingAlgebraStarModule