Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (Revised by Mario Carneiro, 6-May-2015) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | bnj519.1 | |- A e. _V |
|
Assertion | bnj519 | |- ( B e. _V -> Fun { <. A , B >. } ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj519.1 | |- A e. _V |
|
2 | funsng | |- ( ( A e. _V /\ B e. _V ) -> Fun { <. A , B >. } ) |
|
3 | 1 2 | mpan | |- ( B e. _V -> Fun { <. A , B >. } ) |