Theorem bj-tagn0 37563

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 37562	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4305	1 ⊢ tag 𝐴 ≠ ∅

Syntax hints:   ≠ wne 2965  ∅c0 4294  tag bj-ctag 37558

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1823  ax-4 1837  ax-5 1938  ax-6 1995  ax-7 2036  ax-8 2152  ax-9 2160  ax-ext 2742  ax-nul 5274

This theorem depends on definitions:  df-bi 210  df-an 401  df-or 861  df-tru 1571  df-fal 1581  df-ex 1808  df-sb 2099  df-clab 2749  df-cleq 2762  df-clel 2845  df-ne 2966  df-v 3464  df-dif 3916  df-un 3918  df-nul 4295  df-sn 4595  df-bj-tag 37559

This theorem is referenced by:  bj-1upln0  37593  bj-2upln1upl  37608