Theorems · Theorem · commutative algebra
MvPolynomial.optionEquivLeft_X_none
∀ (R : Type u) (S₁ : Type v) [inst : CommSemiring R], (MvPolynomial.optionEquivLeft R S₁) (MvPolynomial.X none) = Polynomial.X
- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 3 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.
Cites12
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 · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- MvPolynomial.Xstatement and proof · cited by 552
- MvPolynomial.aeval_Xproof · cited by 105
- MvPolynomial.optionEquivLeftstatement · cited by 36
- MvPolynomial.optionEquivLeft_applyproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.aeval_toPolynomialAdjoinImageCompl_eq_zeroproof · cited by 2
- MvPolynomial.irreducible_mul_X_addproof · cited by 1
- MvPolynomial.isIntegral_iff_isIntegral_coeffproof · cited by 1