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 ) ) |