Theorems · Theorem · commutative algebra
MvPolynomial.sum_antidiagonal_card_esymm_psum_eq_zero
∀ (σ : Type u_1) [inst : Fintype σ] (R : Type u_2) [inst_1 : CommRing R],
∑ a ∈ Finset.HasAntidiagonal.antidiagonal (Fintype.card σ),
(-1) ^ a.1 * MvPolynomial.esymm σ R a.1 * MvPolynomial.psum σ R a.2 =
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- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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- CommRingstatement and proof · cited by 17,173
- AddCommMonoidproof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Finsuppstatement · cited by 5,255
- Finset.sumstatement and proof · cited by 5,195
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- mul_commproof · cited by 2,262
- MvPolynomialstatement and proof · cited by 2,140
- Fintype.cardstatement and proof · cited by 1,386
- Finset.filterproof · cited by 949
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