Prove OAI.HoneycombForce.position rowVertex using the supplied Honeycomb Free Energy source prefix.
Prove OAI.HoneycombForce.position rowVertex using the supplied Honeycomb Free Energy source prefix.: a task in openai-math-lemmas (Harbor dataset). Prove this supporting lemma from OpenAI's Honeycomb Free Energy proof in Lean 4. Earlier definitions and already proved lemmas are supplied below. The…
The task
Prove this supporting lemma from OpenAI's Honeycomb Free Energy proof in Lean 4. Earlier definitions and already proved lemmas are supplied below. The only missing proof is `OAI.HoneycombForce.position_rowVertex`. Write the complete source below to `/workspace/Submission.lean`, then replace its `by sorry` with a proof.
Part of bkhtmm/openai-math-lemmas.