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Prove Saxl (openai/math family 205: Saxl's conjecture and universal tensor squares) in Lean 4 with Mathlib…

Prove Saxl (openai/math family 205: Saxl's conjecture and universal tensor squares) in Lean 4 with Mathlib…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 205 of the release, Saxl's conjecture and universal tensor squares (Algebra). The…

The task

Context: this statement belongs to family 205 of the release, *Saxl's conjecture and universal tensor squares* (Algebra). The family as a whole: Proves Saxl's conjecture: the tensor square of every staircase representation contains every irreducible complex representation of the corresponding symmetric group. More…

Part of raising-heart/openai-math.