41It is appropriate, last, to recall that, in the area governed by Framework Decision 2002/584, the principle of mutual recognition, which constitutes, as is stated in particular in recital 6 thereof, the ‘cornerstone’ of judicial cooperation in criminal matters, is given effect in Article 1(2) of that decision, pursuant to which Member States are, in principle, obliged to give effect to a European arrest warrant. It follows that the executing judicial authority may refuse to execute such a warrant only in the cases, exhaustively listed, of obligatory non-execution laid down in Article 3 of Framework Decision 2002/584, or of optional non-execution, laid down in Article 4 and 4a of that framework decision. Moreover, the execution of the European arrest warrant may be made subject only to one of the conditions exhaustively laid down in Article 5 of that Framework Decision (see, to that effect, judgment of 12 December 2019, Openbaar Ministerie (Procureur du Roi de Bruxelles), C‑627/19 PPU, EU:C:2019:1079, paragraphs 23 and 24 and the case-law cited).
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