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Exact P1 forest N25APart08

Abstract

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

Theorem 1.1 (Exact forest premise checked_nodes_2048).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2048

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2048 (✓ 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_2064).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2064

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2064 (✓ 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_2080).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2080

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2080 (✓ 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_2096).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2096

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2096 (✓ 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_2112).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2112

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2112 (✓ 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_2128).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2128

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2128 (✓ 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_2144).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2144

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2144 (✓ 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_2160).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2160

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2160 (✓ 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_2176).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2176

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2176 (✓ 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_2192).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2192

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2192 (✓ 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_2208).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2208

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2208 (✓ 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_2224).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2224

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2224 (✓ 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_2240).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2240

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2240 (✓ 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_2256).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2256

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2256 (✓ 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_2272).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2272

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2272 (✓ 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_2288).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2288

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart08.checked_nodes_2288 (✓ 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