Theorems · Theorem · commutative algebra
MonomialOrder.monic_X_add_C
∀ {R : Type u_2} [inst : CommRing R] {ι : Type u_3} (m : MonomialOrder ι) (i : ι) (r : R),
m.Monic (MvPolynomial.X i + MvPolynomial.C r)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Nontrivialproof · cited by 2,416
- MvPolynomialstatement · cited by 2,140
- map_zeroproof · cited by 1,614
- MvPolynomial.Xstatement · cited by 552
- MvPolynomial.Cstatement · cited by 400
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.toSynproof · cited by 82
- MonomialOrder.Monicstatement · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- MonomialOrder.monic_X_sub_Cproof · cited by 0