Theorem bj-tagn0 36960

Description: The tagging of a class is nonempty. (Contributed by BJ, 6-Apr-2019.)

Assertion

Ref	Expression
bj-tagn0	⊢ tag 𝐴 ≠ ∅

Proof of Theorem bj-tagn0

Step	Hyp	Ref	Expression
1		bj-0eltag 36959	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4303	1 ⊢ tag 𝐴 ≠ ∅

Syntax hints:   ≠ wne 2925  ∅c0 4292  tag bj-ctag 36955

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1910  ax-6 1967  ax-7 2008  ax-8 2111  ax-9 2119  ax-ext 2701  ax-nul 5256

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 848  df-tru 1543  df-fal 1553  df-ex 1780  df-sb 2066  df-clab 2708  df-cleq 2721  df-clel 2803  df-ne 2926  df-v 3446  df-dif 3914  df-un 3916  df-nul 4293  df-sn 4586  df-bj-tag 36956

This theorem is referenced by:  bj-1upln0  36990  bj-2upln1upl  37005