Theorems · Theorem · commutative algebra
MonomialOrder.degree_eq_unbotD_withBotDegree
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R] (f : MvPolynomial σ R),
m.degree f = WithBot.unbotD 0 (m.withBotDegree f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites11
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
- Bot.botproof · cited by 4,720
- MvPolynomialstatement and proof · cited by 2,140
- WithBot.someproof · cited by 541
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.degreestatement and proof · cited by 132
- WithBot.unbotDstatement and proof · cited by 49
- MonomialOrder.degree_zeroproof · cited by 29
- MonomialOrder.withBotDegreestatement and proof · cited by 26
- MonomialOrder.withBotDegree_eqproof · cited by 12
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