Mathbox for Mario Carneiro |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > Mathboxes > df-mvt | Structured version Visualization version GIF version |
Description: Define the set of variable typecodes in a Metamath formal system. (Contributed by Mario Carneiro, 14-Jul-2016.) |
Ref | Expression |
---|---|
df-mvt | ⊢ mVT = (𝑡 ∈ V ↦ ran (mType‘𝑡)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmvt 33421 | . 2 class mVT | |
2 | vt | . . 3 setvar 𝑡 | |
3 | cvv 3431 | . . 3 class V | |
4 | 2 | cv 1541 | . . . . 5 class 𝑡 |
5 | cmty 33420 | . . . . 5 class mType | |
6 | 4, 5 | cfv 6432 | . . . 4 class (mType‘𝑡) |
7 | 6 | crn 5591 | . . 3 class ran (mType‘𝑡) |
8 | 2, 3, 7 | cmpt 5162 | . 2 class (𝑡 ∈ V ↦ ran (mType‘𝑡)) |
9 | 1, 8 | wceq 1542 | 1 wff mVT = (𝑡 ∈ V ↦ ran (mType‘𝑡)) |
Colors of variables: wff setvar class |
This definition is referenced by: mvtval 33458 |
Copyright terms: Public domain | W3C validator |