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We report on an experimental and theoretical study of CuMn–V compounds. In agreement with previous works we find low-temperature antiferromagnetism with Néel temperature of 50K in the cubic half-Heusler CuMnSb. We demonstrate that the orthorhombic CuMnAs is a room-temperature antiferromagnet. Our results are based on X-ray diffraction, magnetization, transport, and differential thermal analysis measurements, and on density-functional theory calculations of the magnetic structure of CuMn–V compounds. In the discussion part of the paper we make a prediction, based on our density-functional theory calculations, that the electronic structure of CuMn–V compounds makes a transition from a semimetal to a semiconductor upon introducing the lighter group-V elements.