Theorems · Theorem · commutative algebra
MvPolynomial.optionEquivLeft_monomial
∀ (R : Type u) (S₁ : Type v) [inst : CommSemiring R] (m : Option S₁ →₀ ℕ) (r : R),
(MvPolynomial.optionEquivLeft R S₁) ((MvPolynomial.monomial m) r) =
(Polynomial.monomial (m none)) ((MvPolynomial.monomial m.some) r)- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 1 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.
Cites30
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
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Finsuppstatement and proof · cited by 5,255
- Algebra.algebraMapproof · cited by 4,706
- mul_commproof · cited by 2,262
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- mul_assocproof · cited by 1,667
- Polynomial.Xproof · cited by 1,639
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.optionEquivLeft_coeff_some_coeff_noneproof · cited by 7