Theorems · Definition · commutative algebra
MvPolynomial.C
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → R →+* MvPolynomial σ RC a is the constant polynomial with value a
- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 400 results in Mathlib
- Foundations
- Depth 83 from the axioms, rests on 1,782 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- RingHomstatement and proof · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- AddMonoidAlgebraproof · cited by 649
- MvPolynomial.monomialproof · cited by 253
- AddMonoidAlgebra.singleZeroRingHomproof · cited by 3
Cited by422
Results whose statement or proof uses this declaration.
- MvPolynomial.induction_onstatement and proof · cited by 43
- MvPolynomial.eval₂_Cstatement · cited by 43
- MvPolynomial.algHom_Cstatement · cited by 42
- MvPolynomial.map_Cstatement · cited by 34
- Algebra.Generators.ofCompproof · cited by 32
- MvPolynomial.ringHom_ext'statement and proof · cited by 25
- Algebra.Generators.localizationAwayproof · cited by 23
- xInTermsOfWproof · cited by 21
- MvPolynomial.monomial_eqstatement and proof · cited by 20
- MvPolynomial.eval_Cstatement · cited by 20
- MvPolynomial.uniqueAlgEquivproof · cited by 19
- MvPolynomial.coeff_Cstatement · cited by 16
Showing the 200 most cited of 422.