Theorem bj-tagn0 36962

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 36961	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4309	1 ⊢ tag 𝐴 ≠ ∅

Syntax hints:   ≠ wne 2926  ∅c0 4298  tag bj-ctag 36957

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 2702  ax-nul 5263

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 2709  df-cleq 2722  df-clel 2804  df-ne 2927  df-v 3452  df-dif 3919  df-un 3921  df-nul 4299  df-sn 4592  df-bj-tag 36958

This theorem is referenced by:  bj-1upln0  36992  bj-2upln1upl  37007