# Reproduction: Who Said Neural Networks Aren't Linear?

## Pages

| Page |
| --- |
| [Executive summary](#/executive-summary) |
| [Claim 1: Linearizer definition and induced linearity](#/claim-1-linearizer-definition-and-induced-linearity) |
| [Claim 2: Composition of Linearizers (Prop 2.5)](#/claim-2-composition-of-linearizers-prop-2-5) |
| [Claim 3: Idempotence iff A^2 = A (Lemma 4.2)](#/claim-3-idempotence-iff-a-2-a-lemma-4-2) |
| [Claim 4: One-step flow matching via operator collapse](#/claim-4-one-step-flow-matching-via-operator-collapse) |
| [Claim 5: Modular style transfer via swappable core](#/claim-5-modular-style-transfer-via-swappable-core) |
| [Conclusion](#/conclusion) |