Open Research Index

lie-trotter-lean

Zayn Blore

Palomar Registrypalomar/PALOMAR-2026-10-29-000016Oct 29, 2026math.FAscore 0

A machine-checked proof of the Lie-Trotter product formula in an arbitrary complete normed algebra over the reals with norm-one unit, with a commutator-scaling error bound: for all A, B and n >= 1, the distance from (exp(A/n) exp(B/n))^n to exp(A + B) is at most ‖AB - BA‖ / (2n) · e^(‖A‖ + ‖B‖).

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