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

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

Assertion | simp122 | $${\u22a2}\left(\left({\theta}\wedge \left({\phi}\wedge {\psi}\wedge {\chi}\right)\wedge {\tau}\right)\wedge {\eta}\wedge {\zeta}\right)\to {\psi}$$ |

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

1 | simp22 | $${\u22a2}\left({\theta}\wedge \left({\phi}\wedge {\psi}\wedge {\chi}\right)\wedge {\tau}\right)\to {\psi}$$ | |

2 | 1 | 3ad2ant1 | $${\u22a2}\left(\left({\theta}\wedge \left({\phi}\wedge {\psi}\wedge {\chi}\right)\wedge {\tau}\right)\wedge {\eta}\wedge {\zeta}\right)\to {\psi}$$ |