Registry · Lemma II.L07 established formalized

II.L07 — Idempotent Decomposition Lemma

Every holomorphic function f on tau^3 decomposes uniquely as f = e_+ f_+ + e_- f_- where f_+ and f_- are the B-channel and C-channel components. The decomposition is functorial, stage-coherent, and respects the canonical basis.

Book II Part 7 Ch. 37

Dependency Graph

Depends on (8)

I.D20 I.D21 I.T05 I.T10 II.D35 II.T27 II.D45 II.T31

Depended on by (19)

II.D49 II.D50 II.D51 II.D53 II.D54 II.D55 II.D56 II.D59 II.L08 II.P09 II.P10 II.P11 II.P12 II.P13 II.R13 II.T33 II.T34 II.T35 II.T40

Lean Formalization

Module: TauLib.BookII.Regularity.IdempotentDecomposition

Symbol: idempotent_decompose