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Theorems · Theorem · commutative algebra

MonomialOrder.degree_smul_of_isRegular

∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R] {r : R},
  IsRegular r → ∀ {f : MvPolynomial σ R}, m.degree (r • f) = m.degree f
Defined in
Mathlib.RingTheory.MvPolynomial.MonomialOrder
Cited by
1 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiring
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Around this declaration

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MonomialOrder.div · cited by 2MonomialOrder.divCommSemiring · cited by 10911CommSemiringFinsupp · cited by 5255FinsuppMvPolynomial · cited by 2140MvPolynomialMonomialOrder · cited by 199MonomialOrderMonomialOrder.degree · cited by 132MonomialOrder.degreeIsRegular · cited by 116IsRegularIsRegular.mem_nonZeroDivisors · cited by 2IsRegular.mem_nonZeroDivi…MonomialOrder.degree_smul_of_mem_nonZeroDivisors · cited by 1MonomialOrder.degree_smul…MonomialOrder.degree_smul_of_…CITED BYCITES

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