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Exact P1 forest N25APart05

Abstract

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

Theorem 1.1 (Exact forest premise checked_nodes_1280).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1280

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1280 (✓ 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_1296).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1296

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1296 (✓ 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_1312).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1312

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1312 (✓ 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_1328).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1328

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1328 (✓ 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_1344).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1344

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1344 (✓ 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_1360).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1360

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1360 (✓ 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_1376).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1376

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1376 (✓ 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_1392).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1392

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1392 (✓ 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_1408).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1408

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1408 (✓ 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_1424).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1424

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1424 (✓ 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_1440).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1440

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1440 (✓ 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_1456).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1456

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1456 (✓ 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_1472).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1472

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1472 (✓ 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_1488).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1488

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1488 (✓ 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_1504).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1504

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1504 (✓ 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_1520).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1520

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart05.checked_nodes_1520 (✓ 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