Registry · Theorem I.D18 established formalized

I.D18 — Algebraic Lemniscate

L defined as the bipolar spectral algebra H_tau = A_tau^(B) x A_tau^(C) with crossing point and polarity involution sigma. The algebraic pre-geometric definition of the lemniscate boundary. Geometric form S^1 v S^1 emerges in Book II. Earned from prime polarity, omega-germs, and split-complex discovery.

Book I Part 7 Ch. 30

Dependency Graph

Depends on (3)

I.D26 I.T05 I.D27

Depended on by (28)

I.D19 I.D37 I.D39 I.T06 II.C01 II.D18 II.D60 II.D72 II.P01 II.R01 II.T02 II.T12 II.T13 II.T40 III.D28 IV.D346 IV.D42 IV.T145 V.P07 V.P121 V.T162 V.T27 V.T280 V.T291 V.T292 V.T293 V.T51 V.T65

Lean Formalization

Module: TauLib.BookI.Polarity.Lemniscate

Symbol: Tau.Polarity.AlgebraicLemniscate