ofAdjoinEqTop'_gen — Mathlib

English

The dim of PowerBasis.ofAdjoinEqTop' hx hx' equals the natDegree of minpoly R x.

Русский

Размерность PowerBasis.ofAdjoinEqTop'_dim hx hx' равна natDegree(minpoly_R x).

LaTeX

$$$(PowerBasis.ofAdjoinEqTop' hx hx').dim = (minpoly R x).natDegree$$$

Lean4

@[simp]
theorem _root_.PowerBasis.ofAdjoinEqTop'_gen {x : S} (hx : IsIntegral R x) (hx' : adjoin R { x } = ⊤) :
    (PowerBasis.ofAdjoinEqTop' hx hx').gen = x := by simp [PowerBasis.ofAdjoinEqTop']

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