What is the ruling on someone who intended to break their fast in Ramadan due to heat, then returned home and felt relieved; are they considered to have broken their fast by that intention?

If one resolves and firmly intends to break their fast during the day in Ramadan (definition), their fast is invalidated. They must then abstain from all things that invalidate the fast, repent, and make up for that day. This is the view of the Malikis and the sound opinion among the Hanbalis. They cite as evidence the hadith (definition): "Indeed, actions are by intentions." The Hanafis and Shafi'is, however, hold that the fast is not invalidated merely by the intention to break it; rather, one must actually consume something that breaks the fast. If fasting becomes too difficult due to heat, and one fears for their life, they may break their fast and make up for that day. If their excuse is removed before they break their fast, they must then abstain and make up for that day.