Finite_Totally_Ordered_Set_is_Well_Ordered
Provedproofwikitotal-orderingswell-orderings
Every finite totally ordered set is well-ordered.
Preamble
import Mathlib.Order.WellFounded import Mathlib.Data.Fintype.Basic import Mathlib.Order.Basic
Formal statement
theorem Finite_Totally_Ordered_Set_is_Well_Ordered {α : Type _} [LinearOrder α] [Fintype α] : IsWellOrder α (· < ·) := by sorrySource