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Prove KLInvariance (openai/math family 168: Combinatorial invariance of Kazhdan–Lusztig polynomials) in Lean…

Prove KLInvariance (openai/math family 168: Combinatorial invariance of Kazhdan–Lusztig polynomials) in Lean…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 168 of the release, Combinatorial invariance of Kazhdan–Lusztig polynomials…

The task

Context: this statement belongs to family 168 of the release, *Combinatorial invariance of Kazhdan–Lusztig polynomials* (Combinatorics). The family as a whole: Resolves the full combinatorial invariance conjecture: isomorphic Bruhat intervals in arbitrary Coxeter systems have identical equal-parameter Kazhdan–Lusztig…

Part of raising-heart/openai-math.