Description: Definition of virtual deduction. (Contributed by Alan Sare, 21-Apr-2011) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-vd1 | ⊢ ( ( 𝜑 ▶ 𝜓 ) ↔ ( 𝜑 → 𝜓 ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | wph | ⊢ 𝜑 | |
| 1 | wps | ⊢ 𝜓 | |
| 2 | 0 1 | wvd1 | ⊢ ( 𝜑 ▶ 𝜓 ) |
| 3 | 0 1 | wi | ⊢ ( 𝜑 → 𝜓 ) |
| 4 | 2 3 | wb | ⊢ ( ( 𝜑 ▶ 𝜓 ) ↔ ( 𝜑 → 𝜓 ) ) |