Theorems · Theorem · algebraic geometry
Polynomial.homogenize_add
∀ {R : Type u_1} [inst : CommSemiring R] (p q : Polynomial R) (n : ℕ),
(p + q).homogenize n = p.homogenize n + q.homogenize n- Defined in
- Mathlib.Algebra.Polynomial.Homogenize
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- Finsuppstatement · cited by 5,255
- Finset.sumproof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- MvPolynomialstatement · cited by 2,140
- Polynomial.coeffproof · cited by 1,045
- map_addproof · cited by 964
- Finsupp.singleproof · cited by 943
- MvPolynomial.monomialproof · cited by 253
- Finset.HasAntidiagonal.antidiagonalproof · cited by 218
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.homogenizeLMproof · cited by 4
- Polynomial.coeff_homogenizeproof · cited by 2
- Polynomial.eval₂_homogenize_of_eq_oneproof · cited by 1