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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-tagn0 | Structured version Visualization version GIF version |
Description: The tagging of a class is nonempty. (Contributed by BJ, 6-Apr-2019.) |
Ref | Expression |
---|---|
bj-tagn0 | ⊢ tag 𝐴 ≠ ∅ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-0eltag 36490 | . 2 ⊢ ∅ ∈ tag 𝐴 | |
2 | 1 | ne0ii 4341 | 1 ⊢ tag 𝐴 ≠ ∅ |
Colors of variables: wff setvar class |
Syntax hints: ≠ wne 2937 ∅c0 4326 tag bj-ctag 36486 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905 ax-6 1963 ax-7 2003 ax-8 2100 ax-9 2108 ax-ext 2699 ax-nul 5310 |
This theorem depends on definitions: df-bi 206 df-an 395 df-or 846 df-tru 1536 df-fal 1546 df-ex 1774 df-sb 2060 df-clab 2706 df-cleq 2720 df-clel 2806 df-ne 2938 df-v 3475 df-dif 3952 df-un 3954 df-nul 4327 df-sn 4633 df-bj-tag 36487 |
This theorem is referenced by: bj-1upln0 36521 bj-2upln1upl 36536 |
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