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Summary of Significant Accounting Policies (Details 5) (Non US Subsidiaries, USD $)
Dec. 31, 2014
Non US Subsidiaries
 
Investment  
Deferred tax liabilities, deferred expense $ 0us-gaap_DeferredTaxLiabilitiesDeferredExpense
/ us-gaap_InvestmentTypeAxis
= cf_NonUSSubsidiariesandCorporateJointVenturesMember