Theorems · Theorem · ring theory

Subalgebra.starClosure_le

∀ {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : Semiring A]
  [inst_3 : Algebra R A] [inst_4 : StarRing A] [inst_5 : StarModule R A] {S₁ : Subalgebra R A}
  {S₂ : StarSubalgebra R A}, S₁ ≤ S₂.toSubalgebra → S₁.starClosure ≤ S₂

Defined in

Mathlib.Algebra.Star.Subalgebra

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommSemiringStarRingSemiringAlgebraStarRingStarModule