Theorems · Definition · ring theory

NonUnitalStarSubalgebra.copy

{R : Type u} →
  {A : Type v} →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring A] →
        [inst_2 : Module R A] →
          [inst_3 : Star A] → (S : NonUnitalStarSubalgebra R A) → (s : Set A) → s = ↑S → NonUnitalStarSubalgebra R A

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

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

3 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleStar