Why two other sheets are not used

The convolution regulator of Input statement input:XAconv is not the ramp. Its defect $S_{\epsilon }\xi \ne \xi$ concerns a different coordinate prescription; it is neither an input to the ramp master equation nor repaired by it.

X-G's source-switched mixed map is not XII-C's density-weighted source. The reciprocity theorem blocks an exact upgrade that keeps that field map on every background; it says nothing about the density-switched action (eq:action), whose source and Noether identity were recomputed in XII-C.

XII-C's empty jet is not emptiness of the gauge-fixed shell and not a failure of $\mathcal{O}$. XIII-A's evaluation identity is not a quotient. XIII-D's cochain is not a completion. XIII-C's inventory is not a product.