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Mathlib/RingTheory/Polynomial/Resultant Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -29,13 +29,8 @@ This file contains basic facts about resultant of two polynomials over commutati
2929 `resultant (∏ a ∈ s, (X - C a)) f = ∏ a ∈ s, f.eval a`.
3030 This allows us to write the `resultant f g` as the product of terms of the form `a - b` where `a`
3131 is a root of `f` and `b` is a root of `g`.
32- * A smaller intermediate goal is to show that the Sylvester matrix corresponds to the linear map
33- that we will call the Sylvester map, which is `R[X]_n × R[X]_m →ₗ[R] R[X]_(n + m)` given by
34- `(p, q) ↦ f * p + g * q`, where `R[X]_n` is
35- `Polynomial.degreeLT` in `Mathlib.RingTheory.Polynomial.Basic`.
3632* Resultant of two binary forms (i.e. homogeneous polynomials in two variables), after binary forms
3733 are implemented.
38-
3934 -/
4035
4136@[expose] public section
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