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	$$⊢\phi \to \psi$$
Assertion	bj-jaoi2	$$⊢\left(\psi \vee \phi \right)\to \psi$$

Proof

Step	Hyp	Ref	Expression
1		bj-jaoi1.1	$$⊢\phi \to \psi$$
2		id	$$⊢\psi \to \psi$$
3	2 1	jaoi	$$⊢\left(\psi \vee \phi \right)\to \psi$$