Degeneracy Graph Determinant: Recurrence
Abstract
Occupied-degree reindexing turns the arbitrary-depth source square into a block-triangular pruning recurrence.
The recurrence owner supplies the canonical bottom and column equivalences, the actual pruning matrix, its low-block and triangular identities, and the signed determinant recurrence. No determinant sign is hidden in an ordering convention: fiber orientation and pruning permutation signs are explicit declarations.
Definition 1.1 (OccupiedDegree).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.OccupiedDegree
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.OccupiedDegree (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.2 (DegreeParent).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.DegreeParent
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.DegreeParent (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.3 (bottomDegreeEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomDegreeEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomDegreeEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.4 (columnDegree).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegree
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegree (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.5 (columnDegreeFiberEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegreeFiberEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegreeFiberEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.6 (columnDegreeEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegreeEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegreeEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.7 (degreeParentEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.degreeParentEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.degreeParentEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.8 (pruneBottomEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruneBottomEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruneBottomEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.9 (bottomColumnEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomColumnEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomColumnEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.10 (bottomFiberOrderEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomFiberOrderEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomFiberOrderEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Theorem 1.11 (NewtonE_inv_reindex_fibers).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonE_inv_reindex_fibers
Proof. Machine-checked in Lean as D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonE_inv_reindex_fibers (✓ std3). ∎
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.12 (ancestorPrefix).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.ancestorPrefix
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.ancestorPrefix (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.13 (PruningIndex).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.PruningIndex
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.PruningIndex (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.14 (pruningRowEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningRowEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningRowEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.15 (pruningColumnEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningColumnEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningColumnEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.16 (NewtonPruningMatrix).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.17 (pruningDegree).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningDegree
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningDegree (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Theorem 1.18 (NewtonPruningMatrix_apply_low).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_apply_low
Proof. Machine-checked in Lean as D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_apply_low (✓ std3). ∎
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Theorem 1.19 (NewtonPruningMatrix_blockTriangular).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_blockTriangular
Proof. Machine-checked in Lean as D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_blockTriangular (✓ std3). ∎
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.20 (SourceSquare).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.SourceSquare
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.SourceSquare (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.21 (pruningBlockEquiv).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningBlockEquiv
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningBlockEquiv (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Theorem 1.22 (NewtonPruningMatrix_diagonal_block_reindex).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_diagonal_block_reindex
Proof. Machine-checked in Lean as D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_diagonal_block_reindex (✓ std3). ∎
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Theorem 1.23 (det_NewtonPruningMatrix_blocks).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.det_NewtonPruningMatrix_blocks
Proof. Machine-checked in Lean as D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.det_NewtonPruningMatrix_blocks (✓ std3). ∎
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.24 (pruningPermutation).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningPermutation
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningPermutation (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Theorem 1.25 (sourceSquare_det_recurrence_mathlib).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSquare_det_recurrence_mathlib
Proof. Machine-checked in Lean as D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSquare_det_recurrence_mathlib (✓ std3). ∎
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.26 (sourceSiblingVandermonde).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSiblingVandermonde
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSiblingVandermonde (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.27 (fiberOrientationSign).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.fiberOrientationSign
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.fiberOrientationSign (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Definition 1.28 (pruningRecurrenceSign).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningRecurrenceSign
Formalization. D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningRecurrenceSign (✓ std3).
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
Theorem 1.29 (sourceSquare_det_pruning_recurrence).
Lean statement: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSquare_det_pruning_recurrence
Proof. Machine-checked in Lean as D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSquare_det_pruning_recurrence (✓ std3). ∎
Source. Repository-derived.
Acknowledgement. Garreth Kemp and Sanjaye Ramgoolam (2026). Gauge-string duality, monomial bases and graph determinants. URL: https://arxiv.org/html/2603.05259v2.
Commentary.
This declaration is the exact occupied-degree and pruning recurrence used to reindex the source square. The construction retains actual parent fibers and carries the induced row and column permutations explicitly.
References
- Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.DegreeParent - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonE_inv_reindex_fibers - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_apply_low - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_blockTriangular - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.NewtonPruningMatrix_diagonal_block_reindex - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.OccupiedDegree - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.PruningIndex - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.SourceSquare - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.ancestorPrefix - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomColumnEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomDegreeEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.bottomFiberOrderEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegree - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegreeEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.columnDegreeFiberEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.degreeParentEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.det_NewtonPruningMatrix_blocks - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.fiberOrientationSign - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruneBottomEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningBlockEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningColumnEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningDegree - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningPermutation - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningRecurrenceSign - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.pruningRowEquiv - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSiblingVandermonde - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSquare_det_pruning_recurrence - Truth anchor:
D5/S3/Quantum/Algebra/DegeneracyGraphDeterminantRecurrence.sourceSquare_det_recurrence_mathlib - Dependency: D5/S3/Quantum/Algebra/DegeneracyGraphDeterminant