Bicycle transmission

A bicycle transmission, comprising:

• an axle;
• an input component rotatably supported by the axle to receive a rotational force manually applied thereto;
• an output component rotatably supported by the axle;
• a power transmission mechanism configured to transmit the rotational force of the input component to the output component through any one of a plurality of power transmission paths, the power transmission mechanism being configured to change a rotational velocity of the output component with respect to a rotational velocity of the input component;
• a shift mechanism including a shift input member, a shift control member, a first saver spring and a second saver spring, the shift input member configured to be set in a plurality of rotational positions about the axle, the shift control member being rotated in conjunction with movement of the shift input member so as to select any one of the plurality of power transmission paths, the shift control member receiving the rotational force applied in a first direction about the axle through the first saver spring as the shift input member is rotated in the first direction;
• and
• a shift assist mechanism configured to transmit the rotational force applied in the first direction by the input component to a shifting force transmission path between the second saver spring and the shift control member as the shift input member is rotated in the first direction.