Metamath Proof Explorer


Theorem bnj213

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

Ref Expression
Assertion bnj213 ⊢ pred X A R ⊆ A

Proof

Step Hyp Ref Expression
1 df-bnj14 ⊢ pred X A R = y ∈ A | y R X
2 1 ssrab3 ⊢ pred X A R ⊆ A