Theorem bj-tagn0 37347

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 37346	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4275	1 ⊢ tag 𝐴 ≠ ∅

Syntax hints:   ≠ wne 2936  ∅c0 4264  tag bj-ctag 37342

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1803  ax-4 1817  ax-5 1918  ax-6 1975  ax-7 2016  ax-8 2123  ax-9 2131  ax-ext 2713  ax-nul 5231

This theorem depends on definitions:  df-bi 209  df-an 398  df-or 855  df-tru 1551  df-fal 1561  df-ex 1788  df-sb 2075  df-clab 2720  df-cleq 2733  df-clel 2816  df-ne 2937  df-v 3435  df-dif 3888  df-un 3890  df-nul 4265  df-sn 4559  df-bj-tag 37343

This theorem is referenced by:  bj-1upln0  37377  bj-2upln1upl  37392