Thm*
f:(A![]()
B), R:(B![]()
B![]()
Prop).
Bij(A; B; f) ![]()
(EquivRel x,y:B. x R y) ![]()
(
F:((x,y:A//(x R_f y))![]()
(x,y:B//(x R y))).
Bij(x,y:A//(x R_f y); x,y:B//(x R y); F))
quotient_1_1_corr
Thm*
f:(A![]()
B), R:(B![]()
B![]()
Prop).
(EquivRel x,y:B. x R y) ![]()
(EquivRel x,y:A. x R_f y)
preima_of_equiv_rel