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Theorem bj-sngltagi 36517
Description: The singletonization is included in the tagging. (Contributed by BJ, 6-Oct-2018.)
Assertion
Ref Expression
bj-sngltagi (𝐴 ∈ sngl 𝐵𝐴 ∈ tag 𝐵)

Proof of Theorem bj-sngltagi
StepHypRef Expression
1 bj-snglsstag 36516 . 2 sngl 𝐵 ⊆ tag 𝐵
21sseli 3968 1 (𝐴 ∈ sngl 𝐵𝐴 ∈ tag 𝐵)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wcel 2098  sngl bj-csngl 36500  tag bj-ctag 36509
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 2696
This theorem depends on definitions:  df-bi 206  df-an 395  df-or 846  df-tru 1536  df-ex 1774  df-sb 2060  df-clab 2703  df-cleq 2717  df-clel 2802  df-v 3465  df-un 3945  df-ss 3957  df-bj-tag 36510
This theorem is referenced by:  bj-sngltag  36518  bj-tagci  36519
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