Theorems · Theorem · ring theory
LinearMap.mulRight_eq_zero_iff
∀ (R : Type u_6) (A : Type u_7) [inst : Semiring R] [inst_1 : NonAssocSemiring A] [inst_2 : Module R A] [inst_3 : IsScalarTower R A A] (a : A), LinearMap.mulRight R a = 0 ↔ a = 0
- Defined in
- Mathlib.Algebra.Module.LinearMap.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- IsScalarTowerstatement and proof · cited by 3,896
- NonAssocSemiringstatement and proof · cited by 805
- LinearMap.mulRightstatement · cited by 24
- LinearMap.mulRight_injproof · cited by 1
- LinearMap.mulRight_zero_eq_zeroproof · cited by 1
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