Theorem bj-jaoi2

Description: Shortens consensus (110>106), elnn0z (336>329), pm1.2 (20>19), pm3.2ni (43>39), pm4.44 (55>51). (Contributed by BJ, 30-Sep-2019)

	Ref	Expression
Hypothesis	bj-jaoi1.1	⊢ ( 𝜑 → 𝜓 )
Assertion	bj-jaoi2	⊢ ( ( 𝜓 ∨ 𝜑 ) → 𝜓 )

Proof

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