Registry · Theorem II.T49 established formalized

II.T49 — Geometric Bi-Square Theorem

Five properties of the geometric bi-square: (1) every algebraic component has geometric content, (2) all vertical arrows are continuous, (3) both squares commute with continuity, (4) the limit row is precisely the Central Theorem O(tau^3) = A_spec(L), (5) forgetting geometry recovers the algebraic bi-square I.T41.

Book II Part 10 Ch. 59

Dependency Graph

Depends on (10)

II.D77 I.T41 II.T06 II.T13 II.T27 II.T32 II.T37 II.T40 II.D35 II.D60

Depended on by (5)

II.R33 II.R34 III.D01 III.D11 III.D12

Lean Formalization

Module: TauLib.BookII.Closure.GeometricBiSquare

Symbol: geometric_bisquare_check