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Exact P1 forest N25APart04

Abstract

Exact structural traversal and local numerical premises of the same full scalar reduction.

Theorem 1.1 (Exact forest premise checked_nodes_1024).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1024

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1024 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.2 (Exact forest premise checked_nodes_1040).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1040

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1040 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.3 (Exact forest premise checked_nodes_1056).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1056

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1056 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.4 (Exact forest premise checked_nodes_1072).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1072

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1072 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.5 (Exact forest premise checked_nodes_1088).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1088

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1088 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.6 (Exact forest premise checked_nodes_1104).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1104

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1104 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.7 (Exact forest premise checked_nodes_1120).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1120

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1120 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.8 (Exact forest premise checked_nodes_1136).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1136

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1136 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.9 (Exact forest premise checked_nodes_1152).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1152

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1152 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.10 (Exact forest premise checked_nodes_1168).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1168

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1168 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.11 (Exact forest premise checked_nodes_1184).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1184

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1184 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.12 (Exact forest premise checked_nodes_1200).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1200

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1200 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.13 (Exact forest premise checked_nodes_1216).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1216

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1216 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.14 (Exact forest premise checked_nodes_1232).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1232

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1232 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.15 (Exact forest premise checked_nodes_1248).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1248

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1248 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

Theorem 1.16 (Exact forest premise checked_nodes_1264).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1264

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart04.checked_nodes_1264 (✓ std3). ∎

Source. Repository-derived.

Commentary.

The exact rational or structural premise is used in the complete forest check, which supplies the continuous real scalar inequality.

References