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Prove SphericalField (openai/math family 222: Perceptron free energies and microscopic jamming) in Lean 4…

Prove SphericalField (openai/math family 222: Perceptron free energies and microscopic jamming) in Lean 4…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 222 of the release, Perceptron free energies and microscopic jamming (Probability and…

The task

Context: this statement belongs to family 222 of the release, *Perceptron free energies and microscopic jamming* (Probability and statistical mechanics). The family as a whole: Determines finite-temperature variational free energies for Gaussian Ising perceptrons with bounded Borel log-potentials and Gaussian…

Part of raising-heart/openai-math.