Theorem bj-tagn0 37710

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 37709	. 2 ⊢ ∅ ∈ tag 𝐴
2	1	ne0ii 4293	1 ⊢ tag 𝐴 ≠ ∅

This proof depends on syntax axioms:   ≠ wne 2957  ∅c0 4282  tag bj-ctag 37705

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 1943  ax-6 2000  ax-7 2041  ax-8 2147  ax-9 2155  ax-ext 2734  ax-nul 5267

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 2100  df-clab 2741  df-cleq 2754  df-clel 2837  df-ne 2958  df-v 3455  df-dif 3905  df-un 3907  df-nul 4283  df-sn 4588  df-bj-tag 37706

This theorem is used by:  bj-1upln0  37740  bj-2upln1upl  37755