chapter AFP
session "Banach_Tarski" (AFP) = "HOL-Analysis" +
description \<open>
The Banach-Tarski paradox: the closed unit ball in three-dimensional
Euclidean space admits a finite paradoxical decomposition under
isometries. This is the main submission session; it is checked with
complete proof terms and the AFP mandatory lint bundle.
\<close>
options [timeout = 600]
sessions
"Free-Groups"
theories
BT_Prelim
Paradoxical_Decomposition
Free_Action_Paradox
Free_Group_F2
F2_Paradox
Free_Rotations_SO3
Hausdorff_Paradox
Sphere_Decomposition
Ball_Decomposition
Banach_Tarski_Theorem
document_files
"root.tex"
"root.bib"
[Dauer der Verarbeitung: 0.3 Sekunden, vorverarbeitet 2026-06-10]