Theorems · Theorem · commutative algebra
Polynomial.toMvPolynomial_X
∀ {R : Type u_1} {σ : Type u_3} [inst : CommSemiring R] (i : σ),
(Polynomial.toMvPolynomial i) Polynomial.X = MvPolynomial.X i- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 111 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement · cited by 5,681
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- Polynomial.Xstatement · cited by 1,639
- MvPolynomial.Xstatement and proof · cited by 552
- Polynomial.aeval_Xproof · cited by 120
- Polynomial.toMvPolynomialstatement · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- MvPolynomial.aeval_comp_toMvPolynomialproof · cited by 1
- Polynomial.toMvPolynomial_eq_rename_compproof · cited by 1
- MvPolynomial.rename_comp_toMvPolynomialproof · cited by 1
- MvPolynomial.eval_comp_toMvPolynomialproof · cited by 1