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Theorem psseq1i 3438
 Description: An equality inference for the proper subclass relationship. (Contributed by NM, 9-Jun-2004.)
Hypothesis
Ref Expression
psseq1i.1
Assertion
Ref Expression
psseq1i

Proof of Theorem psseq1i
StepHypRef Expression
1 psseq1i.1 . 2
2 psseq1 3436 . 2
31, 2ax-mp 8 1
 Colors of variables: wff set class Syntax hints:   wb 178   wceq 1653   wpss 3323 This theorem is referenced by:  psseq12i  3440 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-ne 2603  df-in 3329  df-ss 3336  df-pss 3338
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