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Theorems · Theorem · commutative algebra

MvPolynomial.coeff_expand_zero

∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] (p : ℕ),
  p ≠ 0 → ∀ (φ : MvPolynomial σ R), MvPolynomial.coeff 0 ((MvPolynomial.expand p) φ) = MvPolynomial.coeff 0 φ
Defined in
Mathlib.Algebra.MvPolynomial.Expand
Cited by
1 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MvPolynomial.isLocalHom_expand · cited by 1MvPolynomial.isLocalHom_e…DFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringFinsupp · cited by 5255FinsuppAlgHom · cited by 3236AlgHomMvPolynomial · cited by 2140MvPolynomialsmul_zero · cited by 665smul_zeroMvPolynomial.coeff · cited by 315MvPolynomial.coeffMvPolynomial.expand · cited by 44MvPolynomial.expandMvPolynomial.coeff_expand_smul · cited by 6MvPolynomial.coeff_expand…MvPolynomial.coeff_expand_zeroCITED BYCITES

Cites9

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Cited by1

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