Description: Define the set of unambiguous formal systems. (Contributed by Mario Carneiro, 14-Jul-2016)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-mufs | |- mUFS = { t e. mGFS | Fun ( mST ` t ) } |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cmufs | |- mUFS |
|
| 1 | vt | |- t |
|
| 2 | cmgfs | |- mGFS |
|
| 3 | cmst | |- mST |
|
| 4 | 1 | cv | |- t |
| 5 | 4 3 | cfv | |- ( mST ` t ) |
| 6 | 5 | wfun | |- Fun ( mST ` t ) |
| 7 | 6 1 2 | crab | |- { t e. mGFS | Fun ( mST ` t ) } |
| 8 | 0 7 | wceq | |- mUFS = { t e. mGFS | Fun ( mST ` t ) } |