Theorems · Theorem · commutative algebra
MvPolynomial.killCompl_monomial_eq_zero_of_not_subset
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} [inst : CommSemiring R] {f : σ → τ} (hf : Function.Injective f)
{s : τ →₀ ℕ} (c : R), ¬↑s.support ⊆ Set.range f → (MvPolynomial.killCompl hf) ((MvPolynomial.monomial s) c) = 0- Defined in
- Mathlib.Algebra.MvPolynomial.Rename
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 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.
Cites16
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
- Setstatement · cited by 53,352
- RingHom.idstatement · cited by 18,349
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- SetLike.coestatement and proof · cited by 8,199
- Finsuppstatement and proof · cited by 5,255
- Set.rangestatement and proof · cited by 4,705
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- Finsupp.supportstatement and proof · cited by 828
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.killCompl_monomialproof · cited by 1