Theorem dfvd3ir

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

	Ref	Expression
Hypothesis	dfvd3ir.1	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜃 ) ) )
Assertion	dfvd3ir	⊢ (    𝜑    ,    𝜓    ,    𝜒    ▶    𝜃    )

Proof

Step	Hyp	Ref	Expression
1		dfvd3ir.1	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜃 ) ) )
2		dfvd3	⊢ ( (    𝜑    ,    𝜓    ,    𝜒    ▶    𝜃    ) ↔ ( 𝜑 → ( 𝜓 → ( 𝜒 → 𝜃 ) ) ) )
3	1 2	mpbir	⊢ (    𝜑    ,    𝜓    ,    𝜒    ▶    𝜃    )