Theorems · Theorem · nonassociative algebras

NonUnitalAlgebra.sInf_toSubmodule

∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
  [inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A] (S : Set (NonUnitalSubalgebra R A)),
  (sInf S).toSubmodule = sInf (NonUnitalSubalgebra.toSubmodule '' S)

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

0 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleIsScalarTowerSMulCommClass