Valve systems and methods for inserting into a casing in a downhole environment are provided. A valve system includes a tool mandrel, a check valve assembly, and a setting system. The setting system includes a sealing element, wedges, slips, and a set nut. Each of the wedges and slips includes an inner surface slidable along the outer surface of the tool mandrel. Each wedge includes a primary angled surface and a secondary angled surface. The wedges are located between the slips and the secondary angled surface of one wedge is in contact to the secondary angled surface of the other wedge. Each of the slips includes an outer surface including gripping elements configured to grip an inner surface of the casing. Also, each of the slips includes an angled side surface configured to engage with the primary angled surface of the wedge.
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