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Theorem pssne 3034
Description: Two classes in a proper subclass relationship are not equal. (Contributed by NM, 16-Feb-2015.)
Assertion
Ref Expression
pssne (ABAB)

Proof of Theorem pssne
StepHypRef Expression
1 df-pss 2927 . 2 (AB ↔ (AB AB))
21simprbi 260 1 (ABAB)
Colors of variables: wff set class
Syntax hints:  wi 4  wne 2201  wss 2911  wpss 2912
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100
This theorem depends on definitions:  df-bi 110  df-pss 2927
This theorem is referenced by:  pssned  3036
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