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{\xymatrixnocompile { H[I_f] \ar @{^(->}[r]\ar @{^(->}[d] & H \ar @{->>}[r]\ar @{^(->}[d] & \alp (H)\ar [d]\ar @{^(->}[d]\\ \Hom _\C (S,\C )[I_f]\ar @{^(->}[r]\ar @{->>}[d] & \Hom _\C (S,\C )\ar @{->>}[r]\ar @{->>}[d] &\Hom _\C (S[I_f],\C )\ar @{->>}[d]\\ A_f^{\vee }(\C )\ar @{^(->}[r]\ar @/_2pc/_{\theta _A}[rr] & J(\C ) \ar @{->>}[r] & A_f(\C ) \\ }}\relax 
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