Theorems · Theorem · commutative algebra
MvPolynomial.degreeOf_eq_of_degreeOf_add_lt
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] {p q : MvPolynomial σ R} {i : σ},
MvPolynomial.degreeOf i (p + q) < MvPolynomial.degreeOf i p → MvPolynomial.degreeOf i p = MvPolynomial.degreeOf i q- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites9
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 and proof · cited by 2,140
- add_commproof · cited by 1,535
- le_transproof · cited by 985
- MvPolynomial.degreeOfstatement and proof · cited by 53
- max_eq_left_of_ltproof · cited by 11
- max_eq_right_of_ltproof · cited by 7
- MvPolynomial.degreeOf_add_eq_of_degreeOf_ltproof · cited by 1
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