Theorems · Theorem · commutative algebra
MvPolynomial.uniqueAlgEquiv_apply
∀ (R : Type u) [inst : CommSemiring R] (σ : Type u_2) [inst_1 : Unique σ] (p : MvPolynomial σ R), (MvPolynomial.uniqueAlgEquiv R σ) p = MvPolynomial.eval₂ Polynomial.C (fun x => Polynomial.X) p
- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringUnique
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
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement · cited by 5,681
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Uniquestatement and proof · cited by 400
- MvPolynomial.eval₂statement · cited by 103
- MvPolynomial.uniqueAlgEquivstatement and proof · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- MvPolynomial.uniqueAlgEquiv_monomialproof · cited by 4
- MvPolynomial.eval₂_uniqueAlgEquivproof · cited by 4
- MvPolynomial.toMvPowerSeries_pUnitAlgEquivproof · cited by 3
- algebraicIndependent_unique_type_iffproof · cited by 3
- MvPolynomial.coeff_uniqueAlgEquivproof · cited by 1