Exact P1 forest N25APart09
Abstract
Exact structural traversal and local numerical premises of the same full scalar reduction.
Theorem 1.1 (Exact forest premise checked_nodes_2304).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2304
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2304 (✓ 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_2320).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2320
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2320 (✓ 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_2336).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2336
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2336 (✓ 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_2352).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2352
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2352 (✓ 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_2368).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2368
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2368 (✓ 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_2384).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2384
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2384 (✓ 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_2400).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2400
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2400 (✓ 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_2416).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2416
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2416 (✓ 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_2432).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2432
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2432 (✓ 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
- Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2304 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2320 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2336 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2352 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2368 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2384 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2400 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2416 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25APart09.checked_nodes_2432 - Dependency: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Nodes/N25A