Rupert Counterexample

Blueprint Summary🔗

Overview
Total entries83completed: 66; deps incomplete: 12; sorries: 2; no proof: 2
Ready now2Entries whose next formalization step is currently unblocked.
Fully closed66Local code and prerequisite closure are both complete.
Actionable priorities4Entries ready now and already unlocking downstream work.
Current blockers2Missing external or incomplete Lean declarations.
Missing informal coverage13Entries with Lean code but missing an informal statement or proof block.
Ready next (4)
Current blockers (2)
Missing informal coverage (13)
Entry index (83)
Definitions9completed: 7; deps incomplete: 1; sorries: 0; no proof: 0
Lemmas49completed: 45; deps incomplete: 2; sorries: 1; no proof: 1
Theorems20completed: 10; deps incomplete: 8; sorries: 1; no proof: 1
Corollaries5completed: 4; deps incomplete: 1; sorries: 0; no proof: 0
Lean-only entries12
Informal-only entries3
Definition Index (9)
Theorem / Lemma / Corollary Index (74)
By parent groups (17)
Rational trigonometric approximations. (2)
Radius and norm control for noperthedron vertices. (3)
Soundness of table rows and propagated non-Rupert certificates. (4)
Rotation and norm control inequalities. (2)
Pointsymmetry properties of the construction. (2)
Perturbation bounds for projected points. (4)
Reductions from general poses to certified subcases. (3)
Trigonometric inequality reductions. (3)
Radius characterization and preservation tools. (2)
Distance and local-maximality sector estimates. (3)
Linear-algebra lemmas for local geometry. (5)
Rupert-tightening reduction lemmas. (2)
Matrix approximation error bounds. (5)
Derivative bounds and approximation control for rotated projections. (3)
Local theorem approximation bounds. (4)
Final non-Rupert conclusions for the noperthedron. (2)
Spanning criteria for projected triples. (1)
Dependency insights
Statement-used entries10Entries reused in statement dependencies.
Proof-used entries61Entries reused in proof-only dependencies.
Tracked parent groups18Grouped health rollups for parents with more than one child entry.
Most used in statements (10)
Most used in proofs (61)
Group health (18)
  • Noperthedron construction and core definitions.nopert_construction
    Grouped view over entries sharing the same parent.
    total: 4closed: 2local-only: 1ready: 1blocked: 0incomplete Lean: 0unlock score: 33
    Next: «def:pointsymmetrize» stage: statementdownstream unlocks: 10
  • Radius characterization and preservation tools.prelims_radius_tools
    Grouped view over entries sharing the same parent.
    total: 2closed: 1local-only: 0ready: 1blocked: 0incomplete Lean: 0unlock score: 22
    Next: «thm:pointsymmetrize_pres_radius» stage: proofdownstream unlocks: 10
  • Pointsymmetry properties of the construction.nopert_pointsymmetry
    Grouped view over entries sharing the same parent.
    total: 2closed: 0local-only: 1ready: 1blocked: 0incomplete Lean: 0unlock score: 7
    Next: «lemma:pointsymmetrization_is_pointsym» stage: proofdownstream unlocks: 4
  • Matrix approximation error bounds.rational_matrix_error
    Grouped view over entries sharing the same parent.
    total: 5closed: 5local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 74
    Next: no ready child currently unlocks downstream work.
  • Linear-algebra lemmas for local geometry.local_linear_algebra
    Grouped view over entries sharing the same parent.
    total: 6closed: 6local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 73
    Next: no ready child currently unlocks downstream work.
  • Trigonometric inequality reductions.bounding_trig_ineq
    Grouped view over entries sharing the same parent.
    total: 3closed: 3local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 60
    Next: no ready child currently unlocks downstream work.
  • Rational trigonometric approximations.rational_trig_approx
    Grouped view over entries sharing the same parent.
    total: 3closed: 3local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 54
    Next: no ready child currently unlocks downstream work.
  • Local theorem approximation bounds.rational_local_approx
    Grouped view over entries sharing the same parent.
    total: 5closed: 5local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 52
    Next: no ready child currently unlocks downstream work.
  • Perturbation bounds for projected points.bounding_perturbation
    Grouped view over entries sharing the same parent.
    total: 4closed: 4local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 52
    Next: no ready child currently unlocks downstream work.
  • Distance and local-maximality sector estimates.local_distance_sector
    Grouped view over entries sharing the same parent.
    total: 4closed: 4local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 45
    Next: no ready child currently unlocks downstream work.
  • Show all 8 more groups
    • Rotation and norm control inequalities.bounding_rotation_norms
      Grouped view over entries sharing the same parent.
      total: 2closed: 2local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 37
      Next: no ready child currently unlocks downstream work.
    • Derivative bounds and approximation control for rotated projections.global_derivative_bounds
      Grouped view over entries sharing the same parent.
      total: 3closed: 3local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 33
      Next: no ready child currently unlocks downstream work.
    • Soundness of table rows and propagated non-Rupert certificates.computational_table_soundness
      Grouped view over entries sharing the same parent.
      total: 4closed: 1local-only: 3ready: 0blocked: 0incomplete Lean: 0unlock score: 29
      Next: no ready child currently unlocks downstream work.
    • Radius and norm control for noperthedron vertices.nopert_radius
      Grouped view over entries sharing the same parent.
      total: 3closed: 2local-only: 1ready: 0blocked: 0incomplete Lean: 0unlock score: 29
      Next: no ready child currently unlocks downstream work.
    • Spanning criteria for projected triples.local_spanning
      Grouped view over entries sharing the same parent.
      total: 2closed: 2local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 25
      Next: no ready child currently unlocks downstream work.
    • Rupert-tightening reduction lemmas.nopert_rupert_tightening
      Grouped view over entries sharing the same parent.
      total: 2closed: 2local-only: 0ready: 0blocked: 0incomplete Lean: 0unlock score: 11
      Next: no ready child currently unlocks downstream work.
    • Reductions from general poses to certified subcases.main_pose_reductions
      Grouped view over entries sharing the same parent.
      total: 3closed: 0local-only: 3ready: 0blocked: 0incomplete Lean: 0unlock score: 9
      Next: no ready child currently unlocks downstream work.
    • Final non-Rupert conclusions for the noperthedron.main_final_nonrupert
      Grouped view over entries sharing the same parent.
      total: 2closed: 0local-only: 2ready: 0blocked: 0incomplete Lean: 0unlock score: 1
      Next: no ready child currently unlocks downstream work.
Metadata
Owners in use2Distinct owners referenced by the current blueprint entries.
Tags in use6Distinct tags currently attached to blueprint entries.
Owner rollups (2)
  • David Renshawdavid
    entries: 2actionable: 0quick wins: 0linked PRs: 0
  • Jason Reedjason
    entries: 2actionable: 0quick wins: 0linked PRs: 0
Tag rollups (6)
  • tag: local
    entries: 4actionable: 0quick wins: 0linked PRs: 0
  • tag: spanning
    entries: 2actionable: 0quick wins: 0linked PRs: 0
  • tag: congruence
    entries: 1actionable: 0quick wins: 0linked PRs: 0
  • tag: main-theorem
    entries: 1actionable: 0quick wins: 0linked PRs: 0
  • tag: proof
    entries: 1actionable: 0quick wins: 0linked PRs: 0
  • tag: setup
    entries: 1actionable: 0quick wins: 0linked PRs: 0
Metadata audit
Missing owner79
Missing effort79
Untagged79
Missing owner (79)
Missing effort (79)
Untagged (79)
Structure and coverage
Informal-only3Statements with no associated Lean code yet.
Ready to formalize2Entries whose next step is currently unblocked.
Formalized, ancestors open12Local Lean work is done, but prerequisite closure is still open.
Fully closed66Local code and ancestor closure are both complete.
Heaviest prerequisites (39)
No prerequisites (44)
No dependents (13)
Proof debt hotspots (1)
  • Construction of the certified interval solution table.computational_table_construction
    Grouped proof/code debt derived from the current incomplete-declaration snapshots.
    affected entries: 1incomplete decls: 1missing decls: 0total debt: 1