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FishburnDefs

Abstract

Mathematical definitions and results for Fishburn permutations and classical pattern avoidance.

Definition 1.1 (Definition IsFishburn).

Lean statement: D5/S3/Combinatorics/Fishburn/FishburnDefs.IsFishburn

Formalization. D5/S3/Combinatorics/Fishburn/FishburnDefs.IsFishburn (✓ std3).

Source. Repository-derived.

Acknowledgement. Eric S. Egge (2022). Pattern-Avoiding Fishburn Permutations and Ascent Sequences. DOI: 10.48550/arXiv.2208.01484. URL: https://arxiv.org/abs/2208.01484v1.

Commentary.

This definition specifies a mathematical object used in the Fishburn permutation construction.

Definition 1.2 (Definition avoiders).

Lean statement: D5/S3/Combinatorics/Fishburn/FishburnDefs.avoiders

Formalization. D5/S3/Combinatorics/Fishburn/FishburnDefs.avoiders (✓ std3).

Source. Repository-derived.

Acknowledgement. Eric S. Egge (2022). Pattern-Avoiding Fishburn Permutations and Ascent Sequences. DOI: 10.48550/arXiv.2208.01484. URL: https://arxiv.org/abs/2208.01484v1.

Commentary.

This definition specifies a mathematical object used in the Fishburn permutation construction.

Definition 1.3 (Definition claim104).

Lean statement: D5/S3/Combinatorics/Fishburn/FishburnDefs.claim104

Formalization. D5/S3/Combinatorics/Fishburn/FishburnDefs.claim104 (✓ std3).

Source. Repository-derived.

Acknowledgement. Eric S. Egge (2022). Pattern-Avoiding Fishburn Permutations and Ascent Sequences. DOI: 10.48550/arXiv.2208.01484. URL: https://arxiv.org/abs/2208.01484v1.

Commentary.

This definition specifies a mathematical object used in the Fishburn permutation construction.

Definition 1.4 (Definition claim105).

Lean statement: D5/S3/Combinatorics/Fishburn/FishburnDefs.claim105

Formalization. D5/S3/Combinatorics/Fishburn/FishburnDefs.claim105 (✓ std3).

Source. Repository-derived.

Acknowledgement. Eric S. Egge (2022). Pattern-Avoiding Fishburn Permutations and Ascent Sequences. DOI: 10.48550/arXiv.2208.01484. URL: https://arxiv.org/abs/2208.01484v1.

Commentary.

This definition specifies a mathematical object used in the Fishburn permutation construction.

References

  • Truth anchor: D5/S3/Combinatorics/Fishburn/FishburnDefs.IsFishburn
  • Truth anchor: D5/S3/Combinatorics/Fishburn/FishburnDefs.avoiders
  • Truth anchor: D5/S3/Combinatorics/Fishburn/FishburnDefs.claim104
  • Truth anchor: D5/S3/Combinatorics/Fishburn/FishburnDefs.claim105
  • Dependency: D5/S3/Combinatorics/Nonnesting/NonnestingDefs