Theorems · Theorem · commutative algebra
MvPolynomial.algebraMap_eq
∀ (R : Type u) (σ : Type u_1) [inst : CommSemiring R], algebraMap R (MvPolynomial σ R) = MvPolynomial.C
- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 84 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.
Cites6
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
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- Algebra.algebraMapstatement · cited by 4,706
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.Cstatement · cited by 400
Cited by12
Results whose statement or proof uses this declaration.
- MvPolynomial.hom_bind₁proof · cited by 6
- bind₁_wittPolynomial_xInTermsOfWproof · cited by 3
- MvPolynomial.esymmAlgHom_zeroproof · cited by 2
- Algebra.Generators.ofComp_kerCompPreimageproof · cited by 2
- Algebra.FinitePresentation.of_restrict_scalars_finitePresentationproof · cited by 2
- MvPolynomial.esymmAlgHomMonomial_singleproof · cited by 1
- MvPolynomial.esymmAlgHom_fin_surjectiveproof · cited by 1
- DividedPowerAlgebra.mkAlgHom_Cproof · cited by 1
- MvPolynomial.homogeneousSubmodule_zeroproof · cited by 1
- MvPolynomial.prime_C_iffproof · cited by 1
- DividedPowerAlgebra.coe_Cproof · cited by 0
- Algebra.Presentation.span_range_relation_eq_ker_baseChangeproof · cited by 0