Theorem dfvd1ir

Description: Inference form of df-vd1 with the virtual deduction as the assertion. (Contributed by Alan Sare, 14-Nov-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	dfvd1ir.1	⊢ ( 𝜑 → 𝜓 )
Assertion	dfvd1ir	⊢ (    𝜑    ▶    𝜓    )

Proof

Step	Hyp	Ref	Expression
1		dfvd1ir.1	⊢ ( 𝜑 → 𝜓 )
2		df-vd1	⊢ ( (    𝜑    ▶    𝜓    ) ↔ ( 𝜑 → 𝜓 ) )
3	1 2	mpbir	⊢ (    𝜑    ▶    𝜓    )