Theorems · Theorem · commutative algebra
MvPolynomial.support_map_subset
∀ {R : Type u} {S₁ : Type v} {σ : Type u_1} [inst : CommSemiring R] [inst_1 : CommSemiring S₁] (f : R →+* S₁)
(p : MvPolynomial σ R), ((MvPolynomial.map f) p).support ⊆ p.support- Defined in
- Mathlib.Algebra.MvPolynomial.Eval
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringCommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- map_zeroproof · cited by 1,614
- MvPolynomial.coeffproof · cited by 315
- MvPolynomial.supportstatement · cited by 220
- MvPolynomial.mapstatement and proof · cited by 147
- MvPolynomial.coeff_mapproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.degrees_map_leproof · cited by 2
- MvPolynomial.support_map_of_injectiveproof · cited by 1
- MvPolynomial.coeffs_mapproof · cited by 1