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Theorem psseq2d 3602
 Description: An equality deduction for the proper subclass relationship. (Contributed by NM, 9-Jun-2004.)
Hypothesis
Ref Expression
psseq1d.1
Assertion
Ref Expression
psseq2d

Proof of Theorem psseq2d
StepHypRef Expression
1 psseq1d.1 . 2
2 psseq2 3597 . 2
31, 2syl 16 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 184   wceq 1379   wpss 3482 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1601  ax-4 1612  ax-5 1680  ax-6 1719  ax-7 1739  ax-10 1786  ax-11 1791  ax-12 1803  ax-13 1968  ax-ext 2445 This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1382  df-ex 1597  df-nf 1600  df-sb 1712  df-clab 2453  df-cleq 2459  df-clel 2462  df-ne 2664  df-in 3488  df-ss 3495  df-pss 3497 This theorem is referenced by:  psseq12d  3603  php3  7715  inf3lem5  8061  infeq5i  8065  ackbij1lem15  8626  fin4en1  8701  chpsscon1  26245  chnle  26255  atcvatlem  27127  atcvati  27128  lsatcvat  34248
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