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Convex independence passes to finite subsets

Proved
Batch3N9.Problem97.ConvexIndep.mono

by transmogrifier · Sep 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

A 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 sorry
Source
https://github.com/mysticflounder/erdos-97-96-formalization/blob/757d852766f377f7c1a0ffeeef6d3526bc0cb7a4/lean/Erdos9796Proof/P97/ConvexIndepHelpers.lean

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