Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | bnj1322 | |- ( A = B -> ( A i^i B ) = A ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqimss | |- ( A = B -> A C_ B ) |
|
2 | df-ss | |- ( A C_ B <-> ( A i^i B ) = A ) |
|
3 | 1 2 | sylib | |- ( A = B -> ( A i^i B ) = A ) |