Theorem dfvd1imp 42219

Description: Left-to-right part of definition of virtual deduction. (Contributed by Alan Sare, 21-Apr-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
dfvd1imp	⊢ ((   𝜑   ▶   𝜓   ) → (𝜑 → 𝜓))

Proof of Theorem dfvd1imp

Step	Hyp	Ref	Expression
1		df-vd1 42214	. 2 ⊢ ((   𝜑   ▶   𝜓   ) ↔ (𝜑 → 𝜓))
2	1	biimpi 215	1 ⊢ ((   𝜑   ▶   𝜓   ) → (𝜑 → 𝜓))

Syntax hints:   → wi 4  (   wvd1 42213

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 206  df-vd1 42214

This theorem is referenced by:  gen11  42260