Theorem bj-tagn0 37182

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 37181	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4296	1 ⊢ tag 𝐴 ≠ ∅

Syntax hints:   ≠ wne 2932  ∅c0 4285  tag bj-ctag 37177

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1796  ax-4 1810  ax-5 1911  ax-6 1968  ax-7 2009  ax-8 2115  ax-9 2123  ax-ext 2708  ax-nul 5251

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 848  df-tru 1544  df-fal 1554  df-ex 1781  df-sb 2068  df-clab 2715  df-cleq 2728  df-clel 2811  df-ne 2933  df-v 3442  df-dif 3904  df-un 3906  df-nul 4286  df-sn 4581  df-bj-tag 37178

This theorem is referenced by:  bj-1upln0  37212  bj-2upln1upl  37227