| Mathbox for Alan Sare |
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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 44589 | . 2 wff ( 𝜑 ▶ 𝜓 ) |
| 4 | 1, 2 | wi 4 | . 2 wff (𝜑 → 𝜓) |
| 5 | 3, 4 | wb 206 | 1 wff (( 𝜑 ▶ 𝜓 ) ↔ (𝜑 → 𝜓)) |
| Colors of variables: wff setvar class |
| This definition is referenced by: in1 44591 dfvd1ir 44593 dfvd1imp 44595 dfvd1impr 44596 dfvd2an 44602 dfvd3an 44614 |
| Copyright terms: Public domain | W3C validator |