Metamath Proof Explorer


Theorem bj-jaoi1

Description: Shortens orfa2 (58>53), pm1.2 (20>18), pm1.2 (20>18), pm2.4 (31>25), pm2.41 (31>25), pm2.42 (38>32), pm3.2ni (43>39), pm4.44 (55>51). (Contributed by BJ, 30-Sep-2019)

Ref Expression
Hypothesis bj-jaoi1.1
|- ( ph -> ps )
Assertion bj-jaoi1
|- ( ( ph \/ ps ) -> ps )

Proof

Step Hyp Ref Expression
1 bj-jaoi1.1
 |-  ( ph -> ps )
2 id
 |-  ( ps -> ps )
3 1 2 jaoi
 |-  ( ( ph \/ ps ) -> ps )