Var is a domain variable whose initial interval is Min..(Min+N), and this constraint links the domain values of Var with the N 0/1 variables in DomainBools such that the i'th variable in DomainBools represents the value Min+i, and its value is 0 if the value is not in Var's domain, and 1 if Var is assigned the value [Thus, only one variable in DomainBools can take the value 1].
ConsistencyModule is the optional module specification to give the consistency level for the propagation for this constraint: gfd_gac for generalised arc consistency (domain consistency).
A variant of this constraint, called 'domain_constraint' is in the global constraint catalog. There, instead of having DomainBools and Min, there is a collection of Value-Bool pairs, representing a possible domain value and its associated 0/1 variable. This constraint is implemented using Gecode's channel() constraint (variant with BoolVarArgs and IntVar).
[eclipse 53]: bool_channeling(V, [0,1,1,0,1,0,0], 3). % fail [eclipse 54]: bool_channeling(V, [0,0,1,0,0,0,B], 3). V = 5 B = 0 [eclipse 55]: bool_channeling(V, [B1,B2,B3,B4,B5], 6), B4 = 0. V = V{[6 .. 8, 10]} B1 = B1{[0, 1]} B2 = B2{[0, 1]} B3 = B3{[0, 1]} B4 = 0 B5 = B5{[0, 1]}