Theorems · Theorem · commutative algebra
Module.isTorsionBySet_annihilator
∀ (R : Type u_1) (M : Type u_2) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M], Module.IsTorsionBySet R M ↑(Module.annihilator R M)
- Defined in
- Mathlib.Algebra.Module.Torsion.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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Cites9
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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Idealstatement · cited by 4,748
- Module.annihilatorstatement and proof · cited by 61
- Module.IsTorsionBySetstatement · cited by 24
- Module.mem_annihilatorproof · cited by 14
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