theorem · fr-4-theorem-3-1

Mixed Tetrahedral Consistency

Result stated and proved in the source manuscript; website restatement (draft) fusion-reconstruction

Statement

For four invertible canonical routes with common source and target, put , , , and . Then .

Meaning and scope

The order of factors matters. The identity follows from cancellation of these specified finite routes; it does not establish analytic totalization. Trivial directional defects imply equality of the two surface comparisons, not that they equal the identity.

Source

Paper 4, Theorem 3.1. Draft manuscript — compile-audit version; not marked frozen.

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