Theorems · Theorem · commutative algebra
MvPolynomial.totalDegree_C
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] (a : R), (MvPolynomial.C a).totalDegree = 0- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 7 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.
Cites11
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
- Bot.botproof · cited by 4,720
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.Cstatement · cited by 400
- bot_eq_zero'proof · cited by 92
- MvPolynomial.totalDegreestatement · cited by 76
- AddMonoidAlgebra.supDegree_singleproof · cited by 7
- Finsupp.sum_zero_indexproof · cited by 7
Cited by7
Results whose statement or proof uses this declaration.
- MvPolynomial.totalDegree_eq_zero_iff_eq_Cproof · cited by 9
- MonomialOrder.degree_Cproof · cited by 8
- MvPolynomial.totalDegree_zeroproof · cited by 7
- MvPolynomial.totalDegree_oneproof · cited by 4
- MvPolynomial.dvd_C_iff_existsproof · cited by 1
- MvPolynomial.totalDegree_expandproof · cited by 0
- MvPolynomial.totalDegree_sub_C_leproof · cited by 0