Theorem bj-tagn0 33292

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 33291	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4067	1 ⊢ tag 𝐴 ≠ ∅

Syntax hints:   ≠ wne 2933  ∅c0 4059  tag bj-ctag 33287

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871  ax-4 1886  ax-5 1989  ax-6 2055  ax-7 2091  ax-9 2149  ax-10 2169  ax-11 2184  ax-12 2197  ax-13 2392  ax-ext 2741  ax-nul 4942

This theorem depends on definitions:  df-bi 197  df-or 384  df-an 385  df-tru 1635  df-ex 1854  df-nf 1859  df-sb 2048  df-clab 2748  df-cleq 2754  df-clel 2757  df-nfc 2892  df-ne 2934  df-v 3343  df-dif 3719  df-un 3721  df-nul 4060  df-sn 4323  df-bj-tag 33288

This theorem is referenced by:  bj-1upln0  33322  bj-2upln1upl  33337