Theorems · Theorem · number theory
MvPolynomial.sum_eval_eq_zero
∀ {K : Type u_1} {σ : Type u_2} [inst : Fintype K] [inst_1 : Field K] [inst_2 : Fintype σ] [inst_3 : DecidableEq σ]
(f : MvPolynomial σ K), f.totalDegree < (Fintype.card K - 1) * Fintype.card σ → ∑ x, (MvPolynomial.eval x) f = 0- Defined in
- Mathlib.FieldTheory.ChevalleyWarning
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites43
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
- Finsetproof · cited by 13,712
- RingHomstatement · cited by 10,189
- Equivproof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Finsuppstatement and proof · cited by 5,255
- Finset.sumstatement and proof · cited by 5,195
- Equiv.symmproof · cited by 3,681
- Finset.univstatement and proof · cited by 3,473
- Finset.prodproof · cited by 2,356
- Finset.sum_congrproof · cited by 2,323
Cited by1
Results whose statement or proof uses this declaration.
- char_dvd_card_solutions_of_sum_ltproof · cited by 2