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

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

Assertion | simp2r | $${\u22a2}\left({\phi}\wedge \left({\psi}\wedge {\chi}\right)\wedge {\theta}\right)\to {\chi}$$ |

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

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

2 | 1 | 3ad2ant2 | $${\u22a2}\left({\phi}\wedge \left({\psi}\wedge {\chi}\right)\wedge {\theta}\right)\to {\chi}$$ |