Metamath Proof Explorer


Theorem rb-ax3

Description: The third of four axioms in the Russell-Bernays axiom system. (Contributed by Anthony Hart, 13-Aug-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion rb-ax3
|- ( -. ph \/ ( ps \/ ph ) )

Proof

Step Hyp Ref Expression
1 pm2.46
 |-  ( -. ( ps \/ ph ) -> -. ph )
2 1 con1i
 |-  ( -. -. ph -> ( ps \/ ph ) )
3 2 orri
 |-  ( -. ph \/ ( ps \/ ph ) )