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Exact P1 forest N25APart00

Abstract

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

Theorem 1.1 (Exact forest premise checked_nodes_0).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_0

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_0 (✓ 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_16).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_16

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_16 (✓ 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_32).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_32

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_32 (✓ 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_48).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_48

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_48 (✓ 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_64).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_64

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_64 (✓ 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_80).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_80

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_80 (✓ 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_96).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_96

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_96 (✓ 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_112).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_112

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_112 (✓ 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_128).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_128

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_128 (✓ 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_144).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_144

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_144 (✓ 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_160).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_160

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_160 (✓ 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_176).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_176

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_176 (✓ 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_192).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_192

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_192 (✓ 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_208).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_208

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_208 (✓ 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_224).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_224

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_224 (✓ 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_240).

Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_240

Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart00.checked_nodes_240 (✓ 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