Sahih Muslim Book 6, Hadith Number 2530.

Chapter : He who ate on the day of Ashura should abstain (from eating) for the rest of the day (as a mark of respect).

Salama b. al-Akwa’ (Allah be pleased with him) reported that the Messenger of Allah (may peace be upon him) sent a person of the tribe of Aslam on the day of ‘Ashura and commanded him to declare to the people to observe fast in case they had not observed it, and to complete fast till evening if they had taken food