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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 42078 | . 2 wff ( 𝜑 ▶ 𝜓 ) |
4 | 1, 2 | wi 4 | . 2 wff (𝜑 → 𝜓) |
5 | 3, 4 | wb 205 | 1 wff (( 𝜑 ▶ 𝜓 ) ↔ (𝜑 → 𝜓)) |
Colors of variables: wff setvar class |
This definition is referenced by: in1 42080 dfvd1ir 42082 dfvd1imp 42084 dfvd1impr 42085 dfvd2an 42091 dfvd3an 42103 |
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