Theorems · Theorem · commutative algebra
MvPolynomial.le_degrees_add_left
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] {p q : MvPolynomial σ R},
Disjoint p.degrees q.degrees → p.degrees ≤ (p + q).degrees- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 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.
Cites23
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 and proof · cited by 5,255
- add_zeroproof · cited by 2,707
- Multisetstatement and proof · cited by 2,627
- Disjointstatement and proof · cited by 2,201
- MvPolynomialstatement and proof · cited by 2,140
- le_rflproof · cited by 1,558
- eq_or_neproof · cited by 1,117
- Finsupp.supportproof · cited by 828
- MvPolynomial.coeffproof · cited by 315
- MvPolynomial.supportproof · cited by 220
- Finsupp.mem_support_iffproof · cited by 89
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.le_degrees_add_rightproof · cited by 1
- MvPolynomial.degrees_add_of_disjointproof · cited by 1