Theorem bj-tagn0 36367

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 36366	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4332	1 ⊢ tag 𝐴 ≠ ∅

Syntax hints:   ≠ wne 2934  ∅c0 4317  tag bj-ctag 36362

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789  ax-4 1803  ax-5 1905  ax-6 1963  ax-7 2003  ax-8 2100  ax-9 2108  ax-ext 2697  ax-nul 5299

This theorem depends on definitions:  df-bi 206  df-an 396  df-or 845  df-tru 1536  df-fal 1546  df-ex 1774  df-sb 2060  df-clab 2704  df-cleq 2718  df-clel 2804  df-ne 2935  df-v 3470  df-dif 3946  df-un 3948  df-nul 4318  df-sn 4624  df-bj-tag 36363

This theorem is referenced by:  bj-1upln0  36397  bj-2upln1upl  36412