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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-vhc3 | Structured version Visualization version GIF version |
Description: Definition of a 3-element virtual hypotheses collection. (Contributed by Alan Sare, 13-Jun-2015.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-vhc3 | ⊢ (( 𝜑 , 𝜓 , 𝜒 ) ↔ (𝜑 ∧ 𝜓 ∧ 𝜒)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 wff 𝜑 | |
2 | wps | . . 3 wff 𝜓 | |
3 | wch | . . 3 wff 𝜒 | |
4 | 1, 2, 3 | wvhc3 37825 | . 2 wff ( 𝜑 , 𝜓 , 𝜒 ) |
5 | 1, 2, 3 | w3a 1031 | . 2 wff (𝜑 ∧ 𝜓 ∧ 𝜒) |
6 | 4, 5 | wb 195 | 1 wff (( 𝜑 , 𝜓 , 𝜒 ) ↔ (𝜑 ∧ 𝜓 ∧ 𝜒)) |
Colors of variables: wff setvar class |
This definition is referenced by: dfvd3an 37831 |
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