Theorems · Theorem · commutative algebra
MvPolynomial.mul_X_mem_coeffsIn
∀ {R : Type u_2} {S : Type u_3} {σ : Type u_4} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Module R S]
{M : Submodule R S} {p : MvPolynomial σ S} {s : σ},
p * MvPolynomial.X s ∈ MvPolynomial.coeffsIn σ M ↔ p ∈ MvPolynomial.coeffsIn σ M- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
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- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.Xstatement · cited by 552
- MvPolynomial.coeffsInstatement · cited by 18
- MvPolynomial.mul_monomial_mem_coeffsInproof · cited by 1
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