Exact P1 forest N25BPart00
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/N25BPart00.checked_nodes_0
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_16
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_32
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_48
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_64
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_80
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_96
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_112
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_128
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_144
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_160
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_176
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_192
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_208
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_224
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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/N25BPart00.checked_nodes_240
Proof. Machine-checked in Lean as D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.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
- Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_0 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_112 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_128 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_144 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_16 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_160 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_176 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_192 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_208 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_224 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_240 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_32 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_48 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_64 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_80 - Truth anchor:
D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Checks/N25BPart00.checked_nodes_96 - Dependency: D5/S3/Quantum/Entanglement/AbsolutePPT/P1Data/Nodes/N25B