Theorem bj-tagn0 38069

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 38068	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4293	1 ⊢ tag 𝐴 ≠ ∅

This proof depends on syntax axioms:   ≠ wne 2959  ∅c0 4281  tag bj-ctag 38064

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1828  ax-4 1842  ax-5 1945  ax-6 2002  ax-7 2043  ax-8 2149  ax-9 2157  ax-ext 2735  ax-nul 5263

This proof depends on definitions:  df-bi 210  df-an 402  df-or 862  df-tru 1573  df-fal 1583  df-ex 1813  df-sb 2102  df-clab 2742  df-cleq 2755  df-clel 2839  df-ne 2960  df-v 3456  df-dif 4050  df-un 4154  df-nul 4282  df-sn 4589  df-bj-tag 38065

This theorem is used by:  bj-1upln0  38099  bj-2upln1upl  38114