Theorems · Theorem · commutative algebra
MonomialOrder.withBotDegree_add_of_right_lt
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R] {f g : MvPolynomial σ R},
m.toWithBotSyn (m.withBotDegree f) < m.toWithBotSyn (m.withBotDegree g) → m.withBotDegree (f + g) = m.withBotDegree g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites12
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
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- add_commproof · cited by 1,535
- WithBotstatement and proof · cited by 1,498
- AddEquivstatement · cited by 1,087
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.synstatement · cited by 85
- MonomialOrder.withBotDegreestatement and proof · cited by 26
- MonomialOrder.toWithBotSynstatement and proof · cited by 20
- MonomialOrder.withBotDegree_add_of_ltproof · cited by 1
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