| Mathbox for Mario Carneiro |
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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-m0s | Structured version Visualization version GIF version | ||
| Description: Define a function mapping expressions to statements. (Contributed by Mario Carneiro, 14-Jul-2016.) |
| Ref | Expression |
|---|---|
| df-m0s | ⊢ m0St = (𝑎 ∈ V ↦ 〈∅, ∅, 𝑎〉) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cm0s 35553 | . 2 class m0St | |
| 2 | va | . . 3 setvar 𝑎 | |
| 3 | cvv 3459 | . . 3 class V | |
| 4 | c0 4308 | . . . 4 class ∅ | |
| 5 | 2 | cv 1539 | . . . 4 class 𝑎 |
| 6 | 4, 4, 5 | cotp 4609 | . . 3 class 〈∅, ∅, 𝑎〉 |
| 7 | 2, 3, 6 | cmpt 5201 | . 2 class (𝑎 ∈ V ↦ 〈∅, ∅, 𝑎〉) |
| 8 | 1, 7 | wceq 1540 | 1 wff m0St = (𝑎 ∈ V ↦ 〈∅, ∅, 𝑎〉) |
| Colors of variables: wff setvar class |
| This definition is referenced by: (None) |
| Copyright terms: Public domain | W3C validator |