Variable a b : act.
Variable E F : Set.
Variable e e1 e2 : E.
Variable f : F.

(* Specifications: *)
Axiom CF1 : ia E (gamma a b) e = comm (ia E a e) (ia E b e).
Axiom CF2 : gamma a b = delta -> Delta = comm (ia E a e1) (ia E b e2).
Axiom CF2' : e1 <> e2 -> Delta = comm (ia E a e1) (ia E b e2).
Axiom CF2'' : ~ EQ E F -> Delta = comm (ia E a e) (ia F b f).
End COMMUNICATION_F.