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	⊢ ( 𝜑 → 𝜓 )
Assertion	bj-jaoi1	⊢ ( ( 𝜑 ∨ 𝜓 ) → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		bj-jaoi1.1	⊢ ( 𝜑 → 𝜓 )
2		id	⊢ ( 𝜓 → 𝜓 )
3	1 2	jaoi	⊢ ( ( 𝜑 ∨ 𝜓 ) → 𝜓 )