Neither (Krsna and Radharani) wants to be defeated in increasing the intensity of love. Desiring to understand Radharani’s attitude of increasing love, Lord Krsna appeared as Sri Caitanya Mahaprabhu

Expressions researched:
"Neither wants to be defeated in increasing the intensity of love. Desiring to understand Rādhārāṇī's attitude of increasing love, Lord Kṛṣṇa appeared as Śrī Caitanya Mahāprabhu"

Sri Caitanya-caritamrta

CC Adi-lila

In the mirror of Rādhārāṇī’s heart, the transcendental features of Kṛṣṇa appear increasingly new and fresh. In other words, the attraction of Kṛṣṇa increases in proportion to the understanding of Śrīmatī Rādhārāṇī. Each tries to supersede the other. Neither wants to be defeated in increasing the intensity of love. Desiring to understand Rādhārāṇī’s attitude of increasing love, Lord Kṛṣṇa appeared as Śrī Caitanya Mahāprabhu.

CC Adi 4.145, Translation and Purport

"If I deliberate on a way to taste it, I find that I hanker for the position of Rādhikā."

Kṛṣṇa’s attractiveness is wonderful and unlimited. No one can know the end of it. Śrīmatī Rādhārāṇī alone can relish such extensiveness from Her position in the āśraya category. The mirror of Śrīmatī Rādhārāṇī’s transcendental love is perfectly clear, yet it appears clearer and clearest in the transcendental method of understanding Kṛṣṇa. In the mirror of Rādhārāṇī’s heart, the transcendental features of Kṛṣṇa appear increasingly new and fresh. In other words, the attraction of Kṛṣṇa increases in proportion to the understanding of Śrīmatī Rādhārāṇī. Each tries to supersede the other. Neither wants to be defeated in increasing the intensity of love. Desiring to understand Rādhārāṇī's attitude of increasing love, Lord Kṛṣṇa appeared as Śrī Caitanya Mahāprabhu.