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Exact P1 forest N25APart07

Abstract

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

Theorem 1.1 (Exact forest premise checked_nodes_1792).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1792

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1792 (✓ 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_1808).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1808

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1808 (✓ 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_1824).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1824

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1824 (✓ 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_1840).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1840

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1840 (✓ 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_1856).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1856

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1856 (✓ 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_1872).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1872

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1872 (✓ 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_1888).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1888

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1888 (✓ 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_1904).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1904

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1904 (✓ 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_1920).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1920

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1920 (✓ 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_1936).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1936

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1936 (✓ 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_1952).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1952

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1952 (✓ 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_1968).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1968

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1968 (✓ 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_1984).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1984

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_1984 (✓ 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_2000).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_2000

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_2000 (✓ 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_2016).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_2016

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_2016 (✓ 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_2032).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_2032

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart07.checked_nodes_2032 (✓ 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