Is the full ritual bath obligatory after intercourse, even if there is no emission?

Question:
What indicates the obligation is the statement: "It is safer" (i.e., performing the full ritual bath after intercourse, even if there is no emission)?

Answer:
It is possible, but the Sunnah is established. The obligatory act is the full ritual bath, even if there is no emission. And if there is an emission, the full ritual bath becomes obligatory for him.
But if there is no emission, the full ritual bath is obligatory; because the Messenger of Allah (peace and blessings be upon him) clarified this to them later, and Abu Hurayrah was among those who embraced Islam later. The hadith of A'ishah is explicit that if the circumcised parts touch, then the full ritual bath becomes obligatory. He said: when he was asked, peace and blessings be upon him. All of these were narrated by Muslim and others, and the narration is in the two Sahihs.
Q: Ibn Hajar mentioned in his commentary that he said: The statement of the Prophet (peace and blessings be upon him) He said the first water referred to is the water of the full ritual bath, and the second is semen. Is this correct?
The Shaykh: Yes, that is what is meant.