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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-vhc2 | Structured version Visualization version GIF version |
Description: Definition of a 2-element virtual hypotheses collection. (Contributed by Alan Sare, 23-Apr-2015.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-vhc2 | ⊢ (( 𝜑 , 𝜓 ) ↔ (𝜑 ∧ 𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 wff 𝜑 | |
2 | wps | . . 3 wff 𝜓 | |
3 | 1, 2 | wvhc2 37817 | . 2 wff ( 𝜑 , 𝜓 ) |
4 | 1, 2 | wa 383 | . 2 wff (𝜑 ∧ 𝜓) |
5 | 3, 4 | wb 195 | 1 wff (( 𝜑 , 𝜓 ) ↔ (𝜑 ∧ 𝜓)) |
Colors of variables: wff setvar class |
This definition is referenced by: dfvd2an 37819 |
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