Theorems · Theorem · commutative algebra
MvPolynomial.totalDegree_sub_C_le
∀ {R : Type u} {σ : Type u_1} [inst : CommRing R] (p : MvPolynomial σ R) (r : R),
(p - MvPolynomial.C r).totalDegree ≤ p.totalDegree- Defined in
- Mathlib.Algebra.MvPolynomial.CommRing
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.Cstatement and proof · cited by 400
- LE.le.trans_eqproof · cited by 328
- MvPolynomial.totalDegreestatement and proof · cited by 76
- MvPolynomial.totalDegree_Cproof · cited by 7
- MvPolynomial.totalDegree_subproof · cited by 2
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