FishburnTenFiveAChildren

Abstract

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

Definition 1.1 (Definition State).

Lean statement: D5/S3/Combinatorics/Fishburn/FishburnTenFiveAChildren.State

Formalization. D5/S3/Combinatorics/Fishburn/FishburnTenFiveAChildren.State (✓ 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 edgeLabel).

Lean statement: D5/S3/Combinatorics/Fishburn/FishburnTenFiveAChildren.edgeLabel

Formalization. D5/S3/Combinatorics/Fishburn/FishburnTenFiveAChildren.edgeLabel (✓ 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 edgeIndex).

Lean statement: D5/S3/Combinatorics/Fishburn/FishburnTenFiveAChildren.edgeIndex

Formalization. D5/S3/Combinatorics/Fishburn/FishburnTenFiveAChildren.edgeIndex (✓ 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.