is mentioned by

Thm* P:(TProp), c1,c2:Collection(T). c1 = c2 ((xc1.P(x)) (xc2.P(x)))	[col_all_functionality]
Thm* a1,b1,a2,b2:Collection(T). a1 = b1 a2 = b2 (a1 = a2 b1 = b2)	[col_equal_functionality]
Thm* c1,c2:Collection(T). c1 = c2 c1 c2	[col_le_weakening]
Thm* c1,c2:Collection(T), t1,t2:T. t1 = t2 c1 = c2 (t1 c1 t2 c2)	[col_member_functionality]
Thm* c1,c2,c3:Collection(T). c1 = c2 c2 = c3 c1 = c3	[col_equal_transitivity]
Thm* c1,c2:Collection(T). c1 = c2 c2 = c1	[col_equal_inversion]
Thm* c1,c2:Collection(T). c1 = c2 c1 = c2	[col_equal_weakening]

Try larger context: GenAutomata