Theorems · Theorem · nonassociative algebras
NonUnitalSubalgebra.toSubmodule_inj
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
{s t : NonUnitalSubalgebra R A}, s.toSubmodule = t.toSubmodule ↔ s = t- Cited by
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- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement · cited by 7,192
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubalgebrastatement and proof · cited by 215
- NonUnitalSubalgebra.toSubmodulestatement · cited by 23
- NonUnitalSubalgebra.toSubmodule_injectiveproof · cited by 1
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