![]() |
Mathbox for Alan Sare |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > Mathboxes > df-vd1 | Structured version Visualization version GIF version |
Description: Definition of virtual deduction. (Contributed by Alan Sare, 21-Apr-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-vd1 | ⊢ (( 𝜑 ▶ 𝜓 ) ↔ (𝜑 → 𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 wff 𝜑 | |
2 | wps | . . 3 wff 𝜓 | |
3 | 1, 2 | wvd1 38785 | . 2 wff ( 𝜑 ▶ 𝜓 ) |
4 | 1, 2 | wi 4 | . 2 wff (𝜑 → 𝜓) |
5 | 3, 4 | wb 196 | 1 wff (( 𝜑 ▶ 𝜓 ) ↔ (𝜑 → 𝜓)) |
Colors of variables: wff setvar class |
This definition is referenced by: in1 38787 dfvd1ir 38789 dfvd1imp 38791 dfvd1impr 38792 dfvd2an 38798 dfvd3an 38810 |
Copyright terms: Public domain | W3C validator |