Theorem bj-jaoi1 32556

Description: Shortens orfa2 33887 (58>53), pm1.2 535 (20>18), pm1.2 535 (20>18), pm2.4 599 (31>25), pm2.41 597 (31>25), pm2.42 598 (38>32), pm3.2ni 899 (43>39), pm4.44 601 (55>51). (Contributed by BJ, 30-Sep-2019.)

Hypothesis

Ref	Expression
bj-jaoi1.1	|- ( ph -> ps )

Assertion

Ref	Expression
bj-jaoi1	|- ( ( ph \/ ps ) -> ps )

Proof of Theorem bj-jaoi1

Step	Hyp	Ref	Expression
1		bj-jaoi1.1	. 2 |- ( ph -> ps )
2		id 22	. 2 |- ( ps -> ps )
3	1, 2	jaoi 394	1 |- ( ( ph \/ ps ) -> ps )

Syntax hints:   -> wi 4   \/ wo 383

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-or 385

This theorem is referenced by:  bj-falor2  32570