Description: Alternate definition of quotient set. (Contributed by Steven Nguyen, 7-Jun-2023)
Ref | Expression | ||
---|---|---|---|
Assertion | dfqs3 | |- ( A /. R ) = U_ x e. A { [ x ] R } |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-qs | |- ( A /. R ) = { y | E. x e. A y = [ x ] R } |
|
2 | iunsn | |- U_ x e. A { [ x ] R } = { y | E. x e. A y = [ x ] R } |
|
3 | 1 2 | eqtr4i | |- ( A /. R ) = U_ x e. A { [ x ] R } |