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Theorem pssne 3599
Description: Two classes in a proper subclass relationship are not equal. (Contributed by NM, 16-Feb-2015.)
Assertion
Ref Expression
pssne

Proof of Theorem pssne
StepHypRef Expression
1 df-pss 3491 . 2
21simprbi 464 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  =/=wne 2652  C_wss 3475  C.wpss 3476
This theorem is referenced by:  pssned  3601  canthp1lem2  9052  mrissmrcd  15037
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 185  df-an 371  df-pss 3491
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