Metamath Proof Explorer

Theorem orfa1

Description: Add a contradicting disjunct to an antecedent. (Contributed by Giovanni Mascellani, 15-Sep-2017)

Ref Expression
Hypothesis orfa1.1 
|- ( ph -> ps )
Assertion orfa1 
|- ( ( ph \/ F. ) -> ps )

Proof

Step Hyp Ref Expression
1 orfa1.1 
 |-  ( ph -> ps )
2 falim 
 |-  ( F. -> ps )
3 1 2 jaoi 
 |-  ( ( ph \/ F. ) -> ps )