Theorems · Theorem · ring theory
NeZero.of_faithfulSMul
∀ (R : Type u_1) (A : Type u_2) [inst : Semiring R] [inst_1 : Semiring A] [inst_2 : Module R A] [IsScalarTower R A A] [FaithfulSMul R A] (n : ℕ) [NeZero ↑n], NeZero ↑n
- Defined in
- Mathlib.Algebra.Algebra.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- IsScalarTowerstatement and proof · cited by 3,896
- FaithfulSMulstatement and proof · cited by 340
- faithfulSMul_iff_injective_smul_oneproof · cited by 8
- NeZero.nat_of_injectiveproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.minpoly_eq_cyclotomic_of_irreducibleproof · cited by 4
- IsPrimitiveRoot.sub_one_norm_eq_eval_cyclotomicproof · cited by 3