[formula in source] as the Pascal closure
tfpt 1 architecture e8
A family is exactly the complete Pascal truncation to degree two: the unique positive-integer solution of [formula in source] . Proof of uniqueness. Direct evaluation gives [formula in source] , [formula in source] , [formula in source] , [formula in source] , [formula in source] , [formula in source] ; so [formula in source] is the only root in [formula in source] . For [formula in source] the forward difference is
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
experiments/theory-contracts/universalraum-native-exterior-reset-20260915/sources/tfpt_1_architecture_e8.tex · lines 1732 to 1780
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- explicit file citation v2_carrier_pascal.py
literal source filename/path in TeX
- cross reference join CarrierRankUniqueness.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v45_family_exterior.py
literal source filename/path in TeX
- explicit file citation v46_grand_mass_volume.py
literal source filename/path in TeX
- cross reference join tfpt_readouts.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v14_carrier_uniqueness.py
literal source filename/path in TeX
- cross reference join tfpt_readouts.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v44_carrier_exterior.py
literal source filename/path in TeX
- cross reference join ArfSpinorCompiler.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred