Al-Matalib al-'Aliyah 263 — The prayer times

It is narrated from Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) that he said: "The time of no prayer passes until the time of the next prayer after it begins."
Musnad Musaddad: 263. In the chain of this report, Layth bin Abi Sulaym is a weak narrator; however, this is a well-known scholarly statement narrated from Ibn Abbas (may Allah be pleased with them both), which indicates the breadth of the prayer times.