**Description:** Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011)

Ref | Expression | ||
---|---|---|---|

Assertion | simp3l | $${\u22a2}\left({\phi}\wedge {\psi}\wedge \left({\chi}\wedge {\theta}\right)\right)\to {\chi}$$ |

Step | Hyp | Ref | Expression |
---|---|---|---|

1 | simpl | $${\u22a2}\left({\chi}\wedge {\theta}\right)\to {\chi}$$ | |

2 | 1 | 3ad2ant3 | $${\u22a2}\left({\phi}\wedge {\psi}\wedge \left({\chi}\wedge {\theta}\right)\right)\to {\chi}$$ |