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 ∈ 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 ∈ mGFS ∣ Fun ( mST ‘ 𝑡 ) }
8 0 7 wceq mUFS = { 𝑡 ∈ mGFS ∣ Fun ( mST ‘ 𝑡 ) }