Theorems · Definition · commutative algebra
MvPolynomial.map
{R : Type u} →
{S₁ : Type v} →
{σ : Type u_1} →
[inst : CommSemiring R] → [inst_1 : CommSemiring S₁] → (R →+* S₁) → MvPolynomial σ R →+* MvPolynomial σ S₁map f p maps a polynomial p across a ring hom f
- Defined in
- Mathlib.Algebra.MvPolynomial.Eval
- Cited by
- 147 results in Mathlib
- Foundations
- Depth 81 from the axioms, rests on 1,708 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringCommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 and proof · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- AddMonoidAlgebra.mapRingHomproof · cited by 17
Cited by152
Results whose statement or proof uses this declaration.
- MvPolynomial.map_Xstatement · cited by 42
- MvPolynomial.map_Cstatement · cited by 34
- MvPolynomial.map_injectivestatement and proof · cited by 19
- map_wittStructureIntstatement and proof · cited by 13
- MvPolynomial.coeff_mapstatement and proof · cited by 13
- wittStructureIntproof · cited by 13
- map_wittPolynomialstatement and proof · cited by 10
- MvPolynomial.universalFactorizationMapPresentationproof · cited by 10
- WittVector.coeff_frobenius_charPproof · cited by 9
- MvPolynomial.eval_mapstatement and proof · cited by 9
- MvPolynomial.aeval_map_algebraMapstatement and proof · cited by 8
- MvPolynomial.map_bind₁statement and proof · cited by 8