Theorems · Theorem · commutative algebra
MvPolynomial.degrees_C
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] (a : R), (MvPolynomial.C a).degrees = 0- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 84 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
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- Multisetstatement · cited by 2,627
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.Cstatement · cited by 400
- MvPolynomial.degreesstatement · cited by 51
- MvPolynomial.degrees_monomialproof · cited by 3
- Multiset.le_zeroproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- MvPolynomial.degrees_oneproof · cited by 5
- MvPolynomial.vars_Cproof · cited by 4
- MvPolynomial.degrees_zeroproof · cited by 3
- MvPolynomial.degrees_indicatorproof · cited by 1
- MvPolynomial.degreeOf_Cproof · cited by 1
- MvPolynomial.degreeOf_mul_C_leproof · cited by 0
- MvPolynomial.degreeOf_C_mul_leproof · cited by 0
- chevalley_mvPolynomial_mvPolynomialproof · cited by 0