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Prove GrothendieckElementaryExpansion (openai/math family 312: The Grothendieck homotopy hypothesis) in Lean…

Prove GrothendieckElementaryExpansion (openai/math family 312: The Grothendieck homotopy hypothesis) in Lean…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 312 of the release, The Grothendieck homotopy hypothesis (Topology). The family as…

The task

Context: this statement belongs to family 312 of the release, *The Grothendieck homotopy hypothesis* (Topology). The family as a whole: Proves the Grothendieck homotopy hypothesis for $\infty$-groupoids associated with every Grothendieck coherator in the Ara–Henry convention: these algebraic objects recover the…

Part of raising-heart/openai-math.