On gloss:

ce'u
pseudo-quantifier binding a variable within an abstraction that represents an open place.

In definition:

ce'ai (exp!)
lambda variable prenex; marks the end of introduction of lambda-scope variables.
fo'ai (exp!)
Creates a predicate abstraction sumti out of a full bridi clause, binding all the necessary lambda variables to the ko'a-ko'u pronoun series. The number of bound variables must be indicated by appending {xi} followed by that number to the word {fo'ai}, unless only one variable (namely {fo'a}) is bound, in which case the {xi} marking is optional.
foi'i
create a relation abstraction sumti out of a full bridi clause, binding the two lambda variables to the {fo'i} and {fo'u} pronouns.
fy'oi (exp!)
Number suffix initiating a subordinate clause representing a predicate whose arity is the suffixed number; the lambda variables representing the predicate slots are bound from the fo'a-fo'u series in their dictionary ordering; the number of bound variables is the same as the predicate arity.
jau'u
lambda quantifier: binds a lambda variable.
ko'ai (exp!)
Creates a predicate abstraction sumti out of a full bridi clause, binding all the necessary lambda variables to the ko'a-ko'u pronoun series.
koi'i (exp!)
create a binary relation abstraction sumti out of a full bridi clause, binding the two lambda variables to the {ko'i} and {ko'u} pronouns.
ky'oi (exp!)
Number suffix initiating a subordinate clause representing a predicate whose arity is the suffixed number; the lambda variables representing the predicate slots are bound from the ko'a-ko'u series in their dictionary ordering; the number of bound variables is the same as the predicate arity.

In notes:

fa'au (exp!)
mathematical unary operator: map notation
fau'au (exp!)
two-tier function map/assignment writer notation: X1 (ordered list, no repetitious terms) maps termwise-respectively to X2 (ordered list; may be repetitious but must have exactly as many terms as X1)
ka'ei (exp!)
abstractor: predicate abstractor. x1 is the predicate expressed by [bridi], using bo'a, bo'e, etc for variables.
zoi'ai'e (exp!)
empty string/text/word