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

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

Assertion | simp311 | $${\u22a2}\left({\eta}\wedge {\zeta}\wedge \left(\left({\phi}\wedge {\psi}\wedge {\chi}\right)\wedge {\theta}\wedge {\tau}\right)\right)\to {\phi}$$ |

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

1 | simp11 | $${\u22a2}\left(\left({\phi}\wedge {\psi}\wedge {\chi}\right)\wedge {\theta}\wedge {\tau}\right)\to {\phi}$$ | |

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