| Mathbox for Mario Carneiro |
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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-msta | Structured version Visualization version GIF version | ||
| Description: Define the set of all statements. (Contributed by Mario Carneiro, 14-Jul-2016.) |
| Ref | Expression |
|---|---|
| df-msta | ⊢ mStat = (𝑡 ∈ V ↦ ran (mStRed‘𝑡)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cmsta 35480 | . 2 class mStat | |
| 2 | vt | . . 3 setvar 𝑡 | |
| 3 | cvv 3480 | . . 3 class V | |
| 4 | 2 | cv 1539 | . . . . 5 class 𝑡 |
| 5 | cmsr 35479 | . . . . 5 class mStRed | |
| 6 | 4, 5 | cfv 6561 | . . . 4 class (mStRed‘𝑡) |
| 7 | 6 | crn 5686 | . . 3 class ran (mStRed‘𝑡) |
| 8 | 2, 3, 7 | cmpt 5225 | . 2 class (𝑡 ∈ V ↦ ran (mStRed‘𝑡)) |
| 9 | 1, 8 | wceq 1540 | 1 wff mStat = (𝑡 ∈ V ↦ ran (mStRed‘𝑡)) |
| Colors of variables: wff setvar class |
| This definition is referenced by: mstaval 35549 |
| Copyright terms: Public domain | W3C validator |