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The traditional view in public economics is that local governments in a federal system cannot effectively redistribute resources due to interjurisdictional competition over wealthier taxpayers. However, analyzing the first school-level spending data across the country reveals that within-district spending allocations are generally progressive: school districts typically allocate more spending to schools enrolling a higher number of disadvantaged students within their boundaries. We consider explanations for this unexpected pattern. We identify state and federal policies as key drivers of this within-district progressivity, aligning with the traditional view that redistribution is primarily operated through central governments. Specifically, approximately 83% of the within-district contribution to progressivity can be explained by federal spending and allocations earmarked for special education and English language learning students.