Theorems · Theorem · linear algebra
Algebra.aeval_self_charpoly_lmul
∀ {R : Type u_2} {M : Type u_1} [inst : CommRing R] [inst_1 : Ring M] [inst_2 : Algebra R M]
[inst_3 : Module.Finite R M] [inst_4 : Module.Free R M] (α : M),
(Polynomial.aeval α) (LinearMap.charpoly ((Algebra.lmul R M) α)) = 0- Defined in
- Mathlib.LinearAlgebra.Charpoly.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Polynomialstatement · cited by 5,681
- AlgHomstatement · cited by 3,236
- map_zeroproof · cited by 1,614
- Module.Finitestatement and proof · cited by 1,032
- Module.Endstatement · cited by 774
- Polynomial.aevalstatement and proof · cited by 615
- Module.Freestatement and proof · cited by 597
- LinearMap.charpolystatement and proof · cited by 67
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