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Prove CoulombIonization (openai/math family 263: The ionization and generalized ionization conjectures) in…

Prove CoulombIonization (openai/math family 263: The ionization and generalized ionization conjectures) in…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 263 of the release, The ionization and generalized ionization conjectures…

The task

Context: this statement belongs to family 263 of the release, *The ionization and generalized ionization conjectures* (Mathematical physics). The family as a whole: For the full nonrelativistic Coulomb model with two electron spin states, proves that a molecule with $M$ fixed nuclei of charges at least one and total…

Part of raising-heart/openai-math.