Theorems · Theorem · commutative algebra
MvPolynomial.degreeOf_zero
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] (n : σ), MvPolynomial.degreeOf n 0 = 0- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 86 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.
Cites8
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
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.degreeOfstatement · cited by 53
- MvPolynomial.degreesproof · cited by 51
- Multiset.count.congr_simpproof · cited by 22
- MvPolynomial.degreeOf_defproof · cited by 7
- MvPolynomial.degrees_zeroproof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- MvPolynomial.natDegree_optionEquivLeftproof · cited by 2
- MvPolynomial.degreeOf_prod_eqproof · cited by 1
- MvPolynomial.degreeOf_mul_X_eq_degreeOf_add_one_iffproof · cited by 1
- MvPolynomial.degreeOf_add_eq_of_degreeOf_ltproof · cited by 1
- MvPolynomial.degreeOf_C_mulproof · cited by 0
- MvPolynomial.ne_zero_of_degreeOf_ne_zeroproof · cited by 0
- MvPolynomial.natDegree_finSuccEquivproof · cited by 0