**Description:** Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

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

Assertion | simp3rr | $${\u22a2}\left({\theta}\wedge {\tau}\wedge \left({\chi}\wedge \left({\phi}\wedge {\psi}\right)\right)\right)\to {\psi}$$ |

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

1 | simprr | $${\u22a2}\left({\chi}\wedge \left({\phi}\wedge {\psi}\right)\right)\to {\psi}$$ | |

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