Is the game caught by a Muslim's dog permissible to eat if a Magian's dog also participated in the hunt?

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The game hunted by a Muslim's dog is permissible to eat if the Magian's dog caused the game to return and be killed by the Muslim's dog. This is the position held by Al-Shafi'i and Abu Thawr. The permissibility is established because the Muslim's hunting animal acted independently in securing the kill. This ruling is analogous to a situation where a Magian's arrow missed, and a Muslim's arrow struck and killed the game, or if a Magian restrained a sheep and a Muslim slaughtered it.