Manuscript I@2 · I.tex · section · 85631fa7
D2: record pullback versus instrument compatibility
After Enter: records, instruments, decoders, and cutoffs › D2: record pullback versus instrument compatibility · lines 2293–2309
This is the finite pullback criterion recorded in
En03-A CheungEn03A (theorem :pullback).
It determines effects, not complete selective maps.
For instruments and with identified residual output spaces, full implementation compatibility is instead
Equality on all matrix units certifies this map identity and therefore also equality with every untouched reference. Its trace consequence is record compatibility, but the converse fails.
Displayed formulas in this passage
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