Theorems · Theorem · commutative algebra
Module.AEval.isTorsion_of_finiteDimensional
∀ (K : Type u_2) (M : Type u_3) {A : Type u_4} (a : A) [inst : Field K] [inst_1 : Ring A] [inst_2 : Algebra K A]
[inst_3 : AddCommGroup M] [inst_4 : Module A M] [inst_5 : Module K M] [inst_6 : IsScalarTower K A M]
[FiniteDimensional K A], Module.IsTorsion (Polynomial K) (Module.AEval K M a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- AddCommGroupstatement and proof · cited by 12,871
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- IsScalarTowerstatement and proof · cited by 3,896
- FiniteDimensionalstatement and proof · cited by 1,854
- minpoly.aevalproof · cited by 91
- Module.IsTorsionstatement · cited by 23
- Module.AEvalstatement · cited by 18
- minpoly.ne_zero_of_finiteproof · cited by 3
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