Theorems · Theorem · commutative algebra
MvPolynomial.ext
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] (p q : MvPolynomial σ R),
(∀ (m : σ →₀ ℕ), MvPolynomial.coeff m p = MvPolynomial.coeff m q) → p = q- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 61 results in Mathlib
- Foundations
- Depth 60 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
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- Finsupp.extproof · cited by 399
- MvPolynomial.coeffstatement and proof · cited by 315
- AddMonoidAlgebra.extproof · cited by 90
Cited by61
Results whose statement or proof uses this declaration.
- MvPolynomial.totalDegree_eq_zero_iff_eq_Cproof · cited by 9
- MvPolynomial.rename_eq_aevalproof · cited by 5
- MvPolynomial.ext_iffproof · cited by 4
- MvPolynomial.C_dvd_iff_dvd_coeffproof · cited by 3
- IsRegular.monomialproof · cited by 2
- MvPolynomial.isRegular_Xproof · cited by 2
- MvPowerSeries.trunc'_expandproof · cited by 2
- MvPowerSeries.truncFinset_mapproof · cited by 2
- MvPowerSeries.truncFinset_truncFinsetproof · cited by 2
- MvPolynomial.weightedHomogeneousComponent_of_memproof · cited by 2
- MonomialOrder.eq_C_of_degree_eq_zeroproof · cited by 2
- MvPowerSeries.truncTotal_subst_eq_truncTotal_subst_sumproof · cited by 2