Theorems · Theorem · ring theory

NonUnitalSubalgebra.unitization_range

∀ {R : Type u_1} {S : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : SetLike S A] [hSA : NonUnitalSubsemiringClass S A] [hSRA : SMulMemClass S R A] (s : S),
  (NonUnitalSubalgebra.unitization s).range = Algebra.adjoin R ↑s

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Unitization

Cited by

2 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraSetLikeNonUnitalSubsemiringClassSMulMemClass