h3 id="sec:summary-lib-clpfd">F.2.9 library(clpfd)

#/\/2	P and Q hold.
#</2	The arithmetic expression X is less than Y.
#<==/2	Q implies P.
#<==>/2	P and Q are equivalent.
#=/2	The arithmetic expression X equals Y.
#=</2	The arithmetic expression X is less than or equal to Y.
#==>/2	P implies Q.
#>/2	Same as Y #< X.
#>=/2	Same as Y #=< X.
#\/1	Q does _not_ hold.
#\/2	Either P holds or Q holds, but not both.
#\//2	P or Q holds.
#\=/2	The arithmetic expressions X and Y evaluate to distinct integers.
all_different/1	Like all_distinct/1, but with weaker propagation.
all_distinct/1	True iff Vars are pairwise distinct.
automaton/3	Describes a list of finite domain variables with a finite automaton.
automaton/8	Describes a list of finite domain variables with a finite automaton.
chain/2	Zs form a chain with respect to Relation.
circuit/1	True iff the list Vs of finite domain variables induces a Hamiltonian circuit.
cumulative/1	Equivalent to cumulative(Tasks, [limit(1)]).
cumulative/2	Schedule with a limited resource.
disjoint2/1	True iff Rectangles are not overlapping.
element/3	The N-th element of the list of finite domain variables Vs is V.
empty_fdset/1	Set is the empty FD set.
empty_interval/2	Min..Max is an empty interval.
fd_degree/2	Degree is the number of constraints currently attached to Var.
fd_dom/2	Dom is the current domain (see in/2) of Var.
fd_inf/2	Inf is the infimum of the current domain of Var.
fd_set/2	Set is the FD set representation of the current domain of Var.
fd_size/2	Reflect the current size of a domain.
fd_sup/2	Sup is the supremum of the current domain of Var.
fd_var/1	True iff Var is a CLP(FD) variable.
fdset_add_element/3	Set2 is the same FD set as Set1, but with the integer Elt added.
fdset_complement/2	The FD set Complement is the complement of the FD set Set.
fdset_del_element/3	Set2 is the same FD set as Set1, but with the integer Elt removed.
fdset_disjoint/2	The FD sets Set1 and Set2 have no elements in common.
fdset_eq/2	True if the FD sets Set1 and Set2 are equal, i.
fdset_intersect/2	The FD sets Set1 and Set2 have at least one element in common.
fdset_intersection/3	Intersection is an FD set (possibly empty) of all elements that the FD sets Set1 and Set2 have in common.
fdset_interval/3	Interval is a non-empty FD set consisting of the single interval Min..Max.
fdset_max/2	Max is the upper bound (supremum) of the non-empty FD set Set.
fdset_member/2	The integer Elt is a member of the FD set Set.
fdset_min/2	Min is the lower bound (infimum) of the non-empty FD set Set.
fdset_parts/4	Set is a non-empty FD set representing the domain Min..Max \/ Rest, where Min..Max is a non-empty interval (see fdset_interval/3) and Rest is another FD set (possibly empty).
fdset_singleton/2	Set is the FD set containing the single integer Elt.
fdset_size/2	Size is the number of elements of the FD set Set, or the atom *sup* if Set is infinite.
fdset_subset/2	The FD set Set1 is a (non-strict) subset of Set2, i.
fdset_subtract/3	The FD set Difference is Set1 with all elements of Set2 removed, i.
fdset_to_list/2	List is a list containing all elements of the finite FD set Set, in ascending order.
fdset_to_range/2	Domain is a domain equivalent to the FD set Set.
fdset_union/2	The FD set Union is the n-ary union of all FD sets in the list Sets.
fdset_union/3	The FD set Union is the union of FD sets Set1 and Set2.
global_cardinality/2	Global Cardinality constraint.
global_cardinality/3	Global Cardinality constraint.
in/2	Var is an element of Domain.
in_set/2	Var is an element of the FD set Set.
indomain/1	Bind Var to all feasible values of its domain on backtracking.
ins/2	The variables in the list Vars are elements of Domain.
is_fdset/1	Set is currently bound to a valid FD set.
label/1	Equivalent to labeling([], Vars).
labeling/2	Assign a value to each variable in Vars.
lex_chain/1	Lists are lexicographically non-decreasing.
list_to_fdset/2	Set is an FD set containing all elements of List, which must be a list of integers.
range_to_fdset/2	Set is an FD set equivalent to the domain Domain.
scalar_product/4	True iff the scalar product of Cs and Vs is in relation Rel to Expr.
serialized/2	Describes a set of non-overlapping tasks.
sum/3	The sum of elements of the list Vars is in relation Rel to Expr.
transpose/2	Transpose a list of lists of the same length.
tuples_in/2	True iff all Tuples are elements of Relation.
zcompare/3	Analogous to compare/3, with finite domain variables A and B.

<