Theorem dfvd3i

Description: Inference form of dfvd3 . (Contributed by Alan Sare, 14-Nov-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	dfvd3i.1	⊢ (    𝜑    ,    𝜓    ,    𝜒    ▶    𝜃    )
Assertion	dfvd3i	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜃 ) ) )

Proof

Step	Hyp	Ref	Expression
1		dfvd3i.1	⊢ (    𝜑    ,    𝜓    ,    𝜒    ▶    𝜃    )
2		dfvd3	⊢ ( (    𝜑    ,    𝜓    ,    𝜒    ▶    𝜃    ) ↔ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜃 ) ) ) )
3	1 2	mpbi	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜃 ) ) )