Prove Heisenberg (openai/math family 271: Bloch's law and spontaneous ferromagnetic order) in Lean 4 with…
Prove Heisenberg (openai/math family 271: Bloch's law and spontaneous ferromagnetic order) in Lean 4 with…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 271 of the release, Bloch's law and spontaneous ferromagnetic order (Mathematical…
The task
Context: this statement belongs to family 271 of the release, *Bloch's law and spontaneous ferromagnetic order* (Mathematical physics). The family as a whole: Proves Bloch's $T^{3/2}$ law with its exact coefficient for three-dimensional quantum Heisenberg ferromagnets at every positive quantum spin, allowing…
Part of raising-heart/openai-math.