Theorems · Theorem · commutative algebra
MvPolynomial.coeffsIn_pow
∀ {R : Type u_2} {S : Type u_3} {σ : Type u_4} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Algebra R S]
{n : ℕ}, n ≠ 0 → ∀ (M : Submodule R S), MvPolynomial.coeffsIn σ (M ^ n) = MvPolynomial.coeffsIn σ M ^ n- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.coeffsInstatement · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.le_coeffsIn_powproof · cited by 1