B.G 5.13
सर्वकर्माणि मनसा संन्यस्याऽस्ते सुखं वशी। नवद्वारे पुरे देही नैव कुर्वन्न कारयन् ॥१३॥
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.
तत्पूजात्मकानि तत्कृतानि मम शुभार्थमिति ब्रह्मण्याधानम्। स्वातन्त्र्याभावापेक्षयैव जीवस्य अकर्तृत्वम्।
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.
"स्ववन्दनं यथा पित्रा कारितं शिशुकर्तृकम्। एवं पूजा विष्ण्वधीना भवेज्जीवकृतेत्यपि॥"
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.
इति प्रवृत्ते।
-stated thus in Pravrtti testimonial.
अतो मनसैव कर्मन्यासोऽस्वातन्त्र्यापेक्षया ॥१०-१३॥
Therefore, renunciation of actions is possible by the mind alone, because of the lack of independence.