Theorem dfvd2ir

Description: Right-to-left inference form of dfvd2 . (Contributed by Alan Sare, 14-Nov-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	dfvd2ir.1	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
Assertion	dfvd2ir	⊢ (    𝜑    ,    𝜓    ▶    𝜒    )

Proof

Step	Hyp	Ref	Expression
1		dfvd2ir.1	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
2		dfvd2	⊢ ( (    𝜑    ,    𝜓    ▶    𝜒    ) ↔ ( 𝜑 → ( 𝜓 → 𝜒 ) ) )
3	1 2	mpbir	⊢ (    𝜑    ,    𝜓    ▶    𝜒    )