Theorems · Theorem · commutative algebra
MvPolynomial.degrees_zero
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R], MvPolynomial.degrees 0 = 0- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 85 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.
Cites7
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 · cited by 5,255
- Multisetstatement · cited by 2,627
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.degreesstatement and proof · cited by 51
- MvPolynomial.C_0proof · cited by 13
- MvPolynomial.degrees_Cproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.degreeOf_zeroproof · cited by 7
- MvPolynomial.vars_0proof · cited by 2
- chevalley_mvPolynomial_mvPolynomialproof · cited by 0