Metamath Proof Explorer


Theorem bj-rest00

Description: An elementwise intersection on the empty family is the empty set. TODO: this is 0rest . (Contributed by BJ, 27-Apr-2021)

Ref Expression
Assertion bj-rest00 ( ∅ ↾t 𝐴 ) = ∅

Proof

Step Hyp Ref Expression
1 0rest ( ∅ ↾t 𝐴 ) = ∅