Metamath Proof Explorer


Theorem bnj1235

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Hypothesis bnj1235.1
|- ( ph <-> ( ps /\ ch /\ th /\ ta ) )
Assertion bnj1235
|- ( ph -> ch )

Proof

Step Hyp Ref Expression
1 bnj1235.1
 |-  ( ph <-> ( ps /\ ch /\ th /\ ta ) )
2 id
 |-  ( ch -> ch )
3 1 2 bnj770
 |-  ( ph -> ch )