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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 30618 | . 2 class mEx | |
2 | vt | . . 3 setvar 𝑡 | |
3 | cvv 3173 | . . 3 class V | |
4 | 2 | cv 1474 | . . . . 5 class 𝑡 |
5 | cmtc 30615 | . . . . 5 class mTC | |
6 | 4, 5 | cfv 5804 | . . . 4 class (mTC‘𝑡) |
7 | cmrex 30617 | . . . . 5 class mREx | |
8 | 4, 7 | cfv 5804 | . . . 4 class (mREx‘𝑡) |
9 | 6, 8 | cxp 5036 | . . 3 class ((mTC‘𝑡) × (mREx‘𝑡)) |
10 | 2, 3, 9 | cmpt 4643 | . 2 class (𝑡 ∈ V ↦ ((mTC‘𝑡) × (mREx‘𝑡))) |
11 | 1, 10 | wceq 1475 | 1 wff mEx = (𝑡 ∈ V ↦ ((mTC‘𝑡) × (mREx‘𝑡))) |
Colors of variables: wff setvar class |
This definition is referenced by: mexval 30653 |
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