Theorems · Theorem · nonassociative algebras

NonUnitalSubalgebra.inclusion_inclusion

∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
  {S T U : NonUnitalSubalgebra R A} (hst : S ≤ T) (htu : T ≤ U) (x : ↥S),
  (NonUnitalSubalgebra.inclusion htu) ((NonUnitalSubalgebra.inclusion hst) x) = (NonUnitalSubalgebra.inclusion ⋯) x

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

0 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModule