let i be Integer; :: thesis: sin | [.((- (PI / 2)) + ((2 * PI) * i)),((PI / 2) + ((2 * PI) * i)).] is one-to-one
set Q = [.((- (PI / 2)) + ((2 * PI) * i)),((PI / 2) + ((2 * PI) * i)).];
sin | [.((- (PI / 2)) + ((2 * PI) * i)),((PI / 2) + ((2 * PI) * i)).] is increasing by Th53;
hence sin | [.((- (PI / 2)) + ((2 * PI) * i)),((PI / 2) + ((2 * PI) * i)).] is one-to-one by FCONT_3:8; :: thesis: verum