Metamath Proof Explorer


Definition df-mufs

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 ) }

Detailed syntax breakdown

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 ) }