Theorems · Theorem · linear algebra
LinearMap.exists_monic_and_aeval_eq_zero
∀ {M : Type u_2} [inst : AddCommGroup M] (R : Type u_3) [inst_1 : CommRing R] [inst_2 : Module R M] [Module.Finite R M]
(f : Module.End R M), ∃ p, p.Monic ∧ (Polynomial.aeval f) p = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Top.topproof · cited by 9,680
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.natDegreeproof · cited by 1,105
- Module.Finitestatement and proof · cited by 1,032
- Module.Endstatement and proof · cited by 774
- Polynomial.aevalstatement and proof · cited by 615
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