B.G 5.13
sarvakarmāṇi manasā saṁnyasyā'ste sukhaṁ vaśī। navadvāre pure dehī naiva kurvanna kārayan ॥13॥
Having renounced all actions through the mind, the self-controlled resides happily in the city of nine gates as the embodied, neither thinking he performs nor attributing cause to himself.
Gīta Tātparya 5.13
'brahmaṇyādhānam' (5.10) - the attitude that all actions are a form of His worship, and are performed by Him for my well being. The individual being is non-doer because of the absence of 'I am independent' attitude.
tatpūjātmakāni tatkr̥tāni mama śubhārthamiti brahmaṇyādhānam। svātantryābhāvāpekṣayaiva jīvasya akartr̥tvam।
The word 'brahmaṇyādhānam' (Fita 5.10) indicates the attitude that all actions are a form of His worship, and are performed by Him for my well being. Because of the absence of 'I am independent' attitude, the individual being is non-doer.
svavandanaṁ yathā pitrā kāritaṁ śiśukartr̥kam। evaṁ pūjā viṣṇvadhīnā bhavejjīvakr̥tetyapi॥
Just as the father performs self-worship in the hands of a child, for the child's wellbeing, similar is the worship performed by the individual soul, dependent on lord Vishnu.
iti pravr̥tte।
-stated thus in Pravrtti testimonial.
ato manasaiva karmanyāso'svātantryāpekṣayā ॥10-13॥
Therefore, renunciation of actions is possible by the mind alone, because of the lack of independence.