Theorems · Theorem · commutative algebra
MonomialOrder.leadingTerm_leadingTerm
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R] (f : MvPolynomial σ R),
m.leadingTerm (m.leadingTerm f) = m.leadingTerm f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.monomialproof · cited by 253
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.degreeproof · cited by 132
- MonomialOrder.leadingCoeffproof · cited by 72
- MonomialOrder.degree_zeroproof · cited by 29
- MonomialOrder.leadingTermstatement · cited by 29
- MvPolynomial.monomial_zeroproof · cited by 19
- MonomialOrder.leadingCoeff_zeroproof · cited by 14
- MonomialOrder.degree_monomialproof · cited by 12
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