FTH0004canonicalv1sc_j_squared (theorem)
/-- [I.D86] The elliptic-hyperbolic dichotomy: - TauComplex has i² = -1 (elliptic sign), yielding a field with no zero divisors. - SplitComplex has j² = +1 (hyperbolic sign), yielding a ring WITH zero divisors. We witness the dichotomy by showing: 1. i² = -1 in TauComplex (taucomplex_i_squared) 2. j² = +1 in SplitComplex (sc_j_squared, proved below) 3. SplitComplex has zero divisors (zero_divisor_witness_b from SplitComplex.lean) -/
Formalization
Identifiers
Aliases & legacy IDs
sc_j_squaredsc-j-squaredTauLib.BookI.Boundary.ComplexField::sc_j_squaredRelease lines
corpus_v2corpus_v3_workingVersion & History
Status disclaimer
A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.