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If distinct points in form a convex polygon then they determine at least distinct distances.
Source: erdosproblems.com/93
An accepted solution exists. The statement is true.
Proved. The site's export of 2026-09-04 labels the problem "PROVED (LEAN)" (page last edited 19 October 2025) and credits Altman's 1963 proof; see the claim page (Altman, 1963).