Theorems · Theorem · commutative algebra
MonomialOrder.degree_X_add_C
∀ {R : Type u_2} [inst : CommRing R] [Nontrivial R] {ι : Type u_3} (m : MonomialOrder ι) (i : ι) (r : R),
m.degree (MvPolynomial.X i + MvPolynomial.C r) = fun₀ | i => 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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 and proof · cited by 5,255
- Nontrivialstatement and proof · cited by 2,416
- MvPolynomialstatement · cited by 2,140
- map_zeroproof · cited by 1,614
- Finsupp.singlestatement and proof · cited by 943
- MvPolynomial.Xstatement · cited by 552
- MvPolynomial.Cstatement · cited by 400
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.degreestatement · cited by 132
Cited by1
Results whose statement or proof uses this declaration.
- MonomialOrder.degree_X_sub_Cproof · cited by 0