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 ) }