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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-mex | Structured version Visualization version GIF version | ||
| Description: Define the set of expressions, which are strings of constants and variables headed by a typecode constant. (Contributed by Mario Carneiro, 14-Jul-2016.) |
| Ref | Expression |
|---|---|
| df-mex | ⊢ mEx = (𝑡 ∈ V ↦ ((mTC‘𝑡) × (mREx‘𝑡))) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cmex 35472 | . 2 class mEx | |
| 2 | vt | . . 3 setvar 𝑡 | |
| 3 | cvv 3480 | . . 3 class V | |
| 4 | 2 | cv 1539 | . . . . 5 class 𝑡 |
| 5 | cmtc 35469 | . . . . 5 class mTC | |
| 6 | 4, 5 | cfv 6561 | . . . 4 class (mTC‘𝑡) |
| 7 | cmrex 35471 | . . . . 5 class mREx | |
| 8 | 4, 7 | cfv 6561 | . . . 4 class (mREx‘𝑡) |
| 9 | 6, 8 | cxp 5683 | . . 3 class ((mTC‘𝑡) × (mREx‘𝑡)) |
| 10 | 2, 3, 9 | cmpt 5225 | . 2 class (𝑡 ∈ V ↦ ((mTC‘𝑡) × (mREx‘𝑡))) |
| 11 | 1, 10 | wceq 1540 | 1 wff mEx = (𝑡 ∈ V ↦ ((mTC‘𝑡) × (mREx‘𝑡))) |
| Colors of variables: wff setvar class |
| This definition is referenced by: mexval 35507 |
| Copyright terms: Public domain | W3C validator |