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Algebra

Abstract

Second peak SecondPeakHighD: Algebra

The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.1 (Z).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.Z

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.Z (✓ std3).

Source. Repository-derived.

Commentary.

Definition Z in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.2 (T).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.T

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.T (✓ std3).

Source. Repository-derived.

Commentary.

Definition T in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.3 (Y).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.Y

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.Y (✓ std3).

Source. Repository-derived.

Commentary.

Definition Y in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.4 (A).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.A

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.A (✓ std3).

Source. Repository-derived.

Commentary.

Definition A in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.5 (B).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.B

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.B (✓ std3).

Source. Repository-derived.

Commentary.

Definition B in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.6 (L).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.L

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.L (✓ std3).

Source. Repository-derived.

Commentary.

Definition L in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.7 (K).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.K

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.K (✓ std3).

Source. Repository-derived.

Commentary.

Definition K in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.8 (SU).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.SU

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.SU (✓ std3).

Source. Repository-derived.

Commentary.

Definition SU in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.9 (SV).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.SV

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.SV (✓ std3).

Source. Repository-derived.

Commentary.

Definition SV in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.10 (SW).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.SW

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.SW (✓ std3).

Source. Repository-derived.

Commentary.

Definition SW in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.11 (C).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.C

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.C (✓ std3).

Source. Repository-derived.

Commentary.

Definition C in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.12 (oldEnds).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.oldEnds

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.oldEnds (✓ std3).

Source. Repository-derived.

Commentary.

Definition oldEnds in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.13 (newEnds).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.newEnds

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.newEnds (✓ std3).

Source. Repository-derived.

Commentary.

Definition newEnds in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.14 (oldHeads).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.oldHeads

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.oldHeads (✓ std3).

Source. Repository-derived.

Commentary.

Definition oldHeads in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

Definition 1.15 (newHeads).

Lean statement: D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.newHeads

Formalization. D5/S3/Combinatorics/Circle/FourNegative/SecondPeakHighD/Algebra.newHeads (✓ std3).

Source. Repository-derived.

Commentary.

Definition newHeads in the source module; The old and new physical endpoint polynomials retain the actual fresh charge. A2 specializes the generic x parameter to 4 and proves first, second and third charged windows with polynomial slack on the full unbounded cone. The physical endpoint expressions are consumed by the later charged-window proofs.

References