Theorems · Theorem · commutative algebra
MvPolynomial.degreeOf_add_eq_of_degreeOf_lt
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] {p q : MvPolynomial σ R} {i : σ},
MvPolynomial.degreeOf i q < MvPolynomial.degreeOf i p → MvPolynomial.degreeOf i (p + q) = MvPolynomial.degreeOf i p- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 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.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement and proof · cited by 5,255
- add_zeroproof · cited by 2,707
- MvPolynomialstatement and proof · cited by 2,140
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- Finset.Nonemptyproof · cited by 1,001
- Finset.supproof · cited by 530
- MvPolynomial.coeffproof · cited by 315
- MvPolynomial.supportproof · cited by 220
- MvPolynomial.degreeOfstatement and proof · cited by 53
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.degreeOf_eq_of_degreeOf_add_ltproof · cited by 0