Theorems · Theorem · commutative algebra
MvPolynomial.IsHomogeneous.pow
∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] {φ : MvPolynomial σ R} {m : ℕ},
φ.IsHomogeneous m → ∀ (n : ℕ), (φ ^ n).IsHomogeneous (m * n)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Finset.sumproof · cited by 5,195
- Finset.prodproof · cited by 2,356
- mul_commproof · cited by 2,262
- MvPolynomialstatement and proof · cited by 2,140
- Finset.rangeproof · cited by 1,341
- Finset.sum_constproof · cited by 254
- Finset.prod_constproof · cited by 154
- Finset.card_rangeproof · cited by 108
- MvPolynomial.IsHomogeneousstatement and proof · cited by 68
- MvPolynomial.IsHomogeneous.prodproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.isHomogeneous_X_powproof · cited by 3
- MvPolynomial.IsHomogeneous.eval₂proof · cited by 3