Theorems · Theorem · algebraic geometry
Polynomial.homogenize_C_mul
∀ {R : Type u_1} [inst : CommSemiring R] (c : R) (p : Polynomial R) (n : ℕ),
(Polynomial.C c * p).homogenize n = MvPolynomial.C c * p.homogenize n- Defined in
- Mathlib.Algebra.Polynomial.Homogenize
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 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.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- Polynomial.Cstatement · cited by 1,598
- MvPolynomial.Cstatement · cited by 400
- Polynomial.homogenizestatement and proof · cited by 30
- Polynomial.C_mul'proof · cited by 12
- MvPolynomial.C_mul'proof · cited by 8
- Polynomial.homogenize_smulproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.eval₂_homogenize_of_eq_oneproof · cited by 1
- Polynomial.homogenize_eq_of_isHomogeneousproof · cited by 1