| Mathbox for Mario Carneiro |
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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-mufs | Structured version Visualization version GIF version | ||
| Description: Define the set of unambiguous formal systems. (Contributed by Mario Carneiro, 14-Jul-2016.) |
| Ref | Expression |
|---|---|
| df-mufs | ⊢ mUFS = {𝑡 ∈ mGFS ∣ Fun (mST‘𝑡)} |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cmufs 35536 | . 2 class mUFS | |
| 2 | vt | . . . . . 6 setvar 𝑡 | |
| 3 | 2 | cv 1538 | . . . . 5 class 𝑡 |
| 4 | cmst 35534 | . . . . 5 class mST | |
| 5 | 3, 4 | cfv 6542 | . . . 4 class (mST‘𝑡) |
| 6 | 5 | wfun 6536 | . . 3 wff Fun (mST‘𝑡) |
| 7 | cmgfs 35532 | . . 3 class mGFS | |
| 8 | 6, 2, 7 | crab 3420 | . 2 class {𝑡 ∈ mGFS ∣ Fun (mST‘𝑡)} |
| 9 | 1, 8 | wceq 1539 | 1 wff mUFS = {𝑡 ∈ mGFS ∣ Fun (mST‘𝑡)} |
| Colors of variables: wff setvar class |
| This definition is referenced by: (None) |
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