Metamath Proof Explorer


Theorem bnj1436

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Hypothesis bnj1436.1
|- A = { x | ph }
Assertion bnj1436
|- ( x e. A -> ph )

Proof

Step Hyp Ref Expression
1 bnj1436.1
 |-  A = { x | ph }
2 1 abeq2i
 |-  ( x e. A <-> ph )
3 2 biimpi
 |-  ( x e. A -> ph )