Semen coming out during the day following intercourse at night – does this invalidate the fast?

Firstly, if semen comes out during the day after
intercourse at night, that does not invalidate the fast. We have been
permitted to eat, drink and have intercourse from sunset until dawn comes.
Allaah says (interpretation of the meaning): 

“It is made lawful
for you to have sexual relations with your wives on the night of As‑Sawm
(the fasts). They are Libaas [i.e. body-cover, or screen, or Sakan (i.e. you
enjoy the pleasure of living with them)] for you and you are the same for
them. Allaah knows that you used to deceive yourselves, so He turned to you
(accepted your repentance) and forgave you. So now have sexual relations
with them and seek that which Allaah has ordained for you (offspring), and
eat and drink until the white thread (light) of dawn appears to you distinct
from the black thread (darkness of night)…”

[al-Baqarah 2:187]

The scholars (may Allaah
have mercy on them) have stated that if semen comes out during the day after
having had intercourse at night, that does not invalidate the fast. 

It says in al-Jawharah al-Nayyirah (1/138), which is a
Hanafi book: 

If a person who is having intercourse fears that dawn will
come so he withdraws, then he emits semen after dawn, that does not break
his fast. End quote. 

And it says in Haashiyat al-Dasooqi (1/523), which is
a Maaliki book: 

If a person has intercourse at night and his semen is emitted
after dawn, it seems that he does not have to do anything, as is also the
case for one who puts on kohl at night then it reaches his throat during the
day. End quote. It says something similar in Sharh Mukhtasar Khaleel,
2/249. 

Al-Nawawi, whose madhhab was Shaafa’i, said in al-Majmoo’
(6/348): 

If a person has
intercourse before dawn then he withdraws when dawn comes or straight after
it comes, then ejaculates, that does not invalidate his fast, because it
came as the result of permissible intimacy, so he does not have to do
anything. The same applies if a man’s hand is cut off in a case of hadd
punishment and he dies as a result (i.e., no one is responsible for his
death). End quote. 

Secondly: 

If a person has intercourse then does ghusl, then some semen
comes out of him after doing ghusl, he does not have to do ghusl again,
because the reason for that is one reason, so there is no need to do two
ghusls. Rather he has to do ghusl if he ejaculates again as the result of
renewed desire. 

This has already been discussed in the answer to questions
no. 44945 and
12352. 

And Allaah knows best.