insepDegree_bot — Mathlib

English

The inseparable degree of the bottom intermediate field is 1.

Русский

Неинseparable степень нижнего промежуточного поля равна 1.

LaTeX

$$$ \operatorname{insepDegree} F (\perp : \text{IntermediateField } F E) = 1$$$

Lean4

@[simp]
theorem insepDegree_bot : insepDegree F (⊥ : IntermediateField F E) = 1 :=
  by
  have := lift_insepDegree_eq_of_equiv _ _ _ (botEquiv F E)
  rwa [insepDegree_self, Cardinal.lift_one, ← Cardinal.lift_one.{v, u}, Cardinal.lift_inj] at this

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