A left (right) uninorm \(U\) on a complete lattice \(L\) is an associative, non-decreasing binary operation with left (right) neutral element. If a left (right) uninorm has one neutral element, then \(U\) is called a pseudo-uninorm. The authors of this paper discuss some basic properties of the residual coimplications of infinitely \(\wedge\)-distributive left (right) uninorms and pseudo-uninorms. They also investigate the relations between them and residual implications presented by the authors in [``Residual operations of left and right uninorms on a complete lattice'', Fuzzy Sets Syst. 160, No.~1, 22--31 (2009; Zbl 1183.06003)].