Theorems · Definition · ring theory

NonUnitalStarAlgebra.gi

{R : Type u} →
  {A : Type v} →
    [inst : CommSemiring R] →
      [inst_1 : StarRing R] →
        [inst_2 : NonUnitalSemiring A] →
          [inst_3 : StarRing A] →
            [inst_4 : Module R A] →
              [inst_5 : IsScalarTower R A A] →
                [inst_6 : SMulCommClass R A A] →
                  [inst_7 : StarModule R A] → GaloisInsertion (NonUnitalStarAlgebra.adjoin R) SetLike.coe

Galois insertion between adjoin and SetLike.coe.

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarRingNonUnitalSemiringStarRingModuleIsScalarTowerSMulCommClassStarModule