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Theorem bj-snglsstag 34959
Description: The singletonization is included in the tagging. (Contributed by BJ, 6-Oct-2018.)
Assertion
Ref Expression
bj-snglsstag  |- sngl  A  C_ tag  A

Proof of Theorem bj-snglsstag
StepHypRef Expression
1 ssun1 3653 . 2  |- sngl  A  C_  (sngl  A  u.  { (/) } )
2 df-bj-tag 34953 . 2  |- tag  A  =  (sngl  A  u.  { (/)
} )
31, 2sseqtr4i 3522 1  |- sngl  A  C_ tag  A
Colors of variables: wff setvar class
Syntax hints:    u. cun 3459    C_ wss 3461   (/)c0 3783   {csn 4016  sngl bj-csngl 34943  tag bj-ctag 34952
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1623  ax-4 1636  ax-5 1709  ax-6 1752  ax-7 1795  ax-10 1842  ax-11 1847  ax-12 1859  ax-13 2004  ax-ext 2432
This theorem depends on definitions:  df-bi 185  df-or 368  df-an 369  df-tru 1401  df-ex 1618  df-nf 1622  df-sb 1745  df-clab 2440  df-cleq 2446  df-clel 2449  df-nfc 2604  df-v 3108  df-un 3466  df-in 3468  df-ss 3475  df-bj-tag 34953
This theorem is referenced by:  bj-sngltagi  34960
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