Theorems · Theorem · nonassociative algebras
NonUnitalSubalgebra.toSubmodule_toNonUnitalSubalgebra
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
(S : NonUnitalSubalgebra R A), S.toSubmodule.toNonUnitalSubalgebra ⋯ = S- Cited by
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- Foundations
- Depth 16 from the axioms · uses no axioms
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- SetLike.coe_injectiveproof · cited by 374
- NonUnitalSubalgebrastatement and proof · cited by 215
- MulMemClass.mul_memstatement and proof · cited by 173
- NonUnitalSubalgebra.toSubmodulestatement and proof · cited by 23
- Submodule.toNonUnitalSubalgebrastatement and proof · cited by 5
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