Theorems · Theorem · nonassociative algebras
NonUnitalAlgebra.span_eq_toSubmodule
∀ (R : Type u) {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
(s : NonUnitalSubalgebra R A), Submodule.span R ↑s = s.toSubmodule- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- Submodulestatement · cited by 7,192
- Submodule.spanstatement · cited by 1,504
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubalgebrastatement and proof · cited by 215
- NonUnitalSubalgebra.toSubmodulestatement · cited by 23
- Submodule.coe_span_eq_selfproof · cited by 2
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