Metamath Proof Explorer


Theorem bnj1247

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

Ref Expression
Hypothesis bnj1247.1
|- ( ph <-> ( ps /\ ch /\ th /\ ta ) )
Assertion bnj1247
|- ( ph -> th )

Proof

Step Hyp Ref Expression
1 bnj1247.1
 |-  ( ph <-> ( ps /\ ch /\ th /\ ta ) )
2 id
 |-  ( th -> th )
3 1 2 bnj771
 |-  ( ph -> th )