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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 33337 | . 2 class mStat | |
2 | vt | . . 3 setvar 𝑡 | |
3 | cvv 3422 | . . 3 class V | |
4 | 2 | cv 1538 | . . . . 5 class 𝑡 |
5 | cmsr 33336 | . . . . 5 class mStRed | |
6 | 4, 5 | cfv 6418 | . . . 4 class (mStRed‘𝑡) |
7 | 6 | crn 5581 | . . 3 class ran (mStRed‘𝑡) |
8 | 2, 3, 7 | cmpt 5153 | . 2 class (𝑡 ∈ V ↦ ran (mStRed‘𝑡)) |
9 | 1, 8 | wceq 1539 | 1 wff mStat = (𝑡 ∈ V ↦ ran (mStRed‘𝑡)) |
Colors of variables: wff setvar class |
This definition is referenced by: mstaval 33406 |
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