relfinrank — Mathlib

English

The degree of the embedding of a polynomial p into RatFunc K equals natDegree p: intDegree(algebraMap K[X] (RatFunc K) p) = natDegree p.

Русский

Степень вложения многочлена p в RatFunc K равна natDegree p: intDegree(algebraMap K[X] (RatFunc K) p) = natDegree p.

LaTeX

$$$\\operatorname{intDegree}(\\mathrm{algebraMap}\\,K[X]\, (\\mathrm{RatFunc}\\,K)\\,p) = \\operatorname{natDegree}(p)$$$

Lean4

/-- The `Nat` version of `Subfield.relrank`.
If `B / A ⊓ B` is an infinite extension, then it is zero. -/
noncomputable def relfinrank :=
  finrank ↥(A ⊓ B) (extendScalars (inf_le_right : A ⊓ B ≤ B))

Похожие утверждения