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issue 49 - leadingCoeff, leadingTerm, etc #99

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issue 49 - leadingCoeff, leadingTerm, etc #99

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17 changes: 9 additions & 8 deletions CompPoly/Multivariate/CMvPolynomial.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -162,14 +162,6 @@ class MonomialOrder (n : ℕ) where
def MonomialOrder.degree {n : ℕ} [MonomialOrder n] (m : CMvMonomial n) : ℕ :=
sorry

/-- Leading monomial of a polynomial according to a monomial order.

Returns `none` for the zero polynomial.
-/
def leadingMonomial {n : ℕ} {R : Type} [Zero R] [MonomialOrder n]
(p : CMvPolynomial n R) : Option (CMvMonomial n) :=
sorry

/-- Leading coefficient of a polynomial according to a monomial order.

Returns `0` for the zero polynomial.
Expand All @@ -178,6 +170,15 @@ def leadingCoeff {n : ℕ} {R : Type} [Zero R] [MonomialOrder n]
(p : CMvPolynomial n R) : R :=
sorry

/-- Leading term of a polynomial according to a monomial order.

Equals `monomial (degree p) (leadingCoeff p)` when `p ≠ 0`, and `0` otherwise.
Matches Mathlib's `MonomialOrder.leadingTerm`.
-/
def leadingTerm {n : ℕ} {R : Type} [Zero R] [BEq R] [LawfulBEq R] [MonomialOrder n]
(p : CMvPolynomial n R) : CMvPolynomial n R :=
sorry

/-- Multiset of all variable degrees appearing in the polynomial.

Each variable `i` appears `degreeOf i p` times in the multiset.
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