Theorem bj-tagn0 36491

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 36490	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4341	1 ⊢ tag 𝐴 ≠ ∅

Syntax hints:   ≠ wne 2937  ∅c0 4326  tag bj-ctag 36486

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 2699  ax-nul 5310

This theorem depends on definitions:  df-bi 206  df-an 395  df-or 846  df-tru 1536  df-fal 1546  df-ex 1774  df-sb 2060  df-clab 2706  df-cleq 2720  df-clel 2806  df-ne 2938  df-v 3475  df-dif 3952  df-un 3954  df-nul 4327  df-sn 4633  df-bj-tag 36487

This theorem is referenced by:  bj-1upln0  36521  bj-2upln1upl  36536