Exact P1 forest N25BPart03
Abstract
Exact structural traversal and local numerical premises of the same full scalar reduction.
Theorem 1.1 (Exact forest premise checked_nodes_768).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_768
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_768 (✓ 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_784).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_784
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_784 (✓ 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_800).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_800
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_800 (✓ 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_816).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_816
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_816 (✓ 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_832).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_832
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_832 (✓ 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_848).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_848
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_848 (✓ 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_864).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_864
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_864 (✓ 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_880).
Lean statement: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_880
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_880 (✓ 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/N25BPart03.checked_nodes_768 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_784 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_800 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_816 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_832 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_848 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_864 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart03.checked_nodes_880 - Dependency: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Nodes/N25B