Theorem dfvd1impr 45343

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

Assertion

Ref	Expression
dfvd1impr	⊢ ((𝜑 → 𝜓) → (   𝜑   ▶   𝜓   ))

Proof of Theorem dfvd1impr

Step	Hyp	Ref	Expression
1		df-vd1 45337	. 2 ⊢ ((   𝜑   ▶   𝜓   ) ↔ (𝜑 → 𝜓))
2	1	biimpri 231	1 ⊢ ((𝜑 → 𝜓) → (   𝜑   ▶   𝜓   ))

This proof depends on syntax axioms:   → wi 4  (   wvd1 45336

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 210  df-vd1 45337

This theorem is used by:  gen11  45383