Convex independence passes to finite subsets
ProvedBatch3N9.Problem97.ConvexIndep.monoA subset of a convex-independent finite planar set is convex independent.
Preamble
import Definitions.Def_Erdos9796Counting_Adapter import Definitions.Def_Erdos9796Counting_Foundation import Mathlib.Analysis.Convex.Between import Mathlib.Analysis.Convex.Independent import Mathlib.Data.Finset.Basic import Mathlib.Geometry.Euclidean.Angle.Oriented.Basic open Problem97 Problem97.ConvexIndep open scoped EuclideanGeometry
Formal statement
theorem Batch3N9.Problem97.ConvexIndep.mono {A B : Finset ℝ²} (hBA : B ⊆ A) (hA : ConvexIndep A) : ConvexIndep B := by sorrySource