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Theorem pssned 3367
Description: Proper subclasses are unequal. Deduction form of pssne 3365. (Contributed by David Moews, 1-May-2017.)
Hypothesis
Ref Expression
pssssd.1 (φAB)
Assertion
Ref Expression
pssned (φAB)

Proof of Theorem pssned
StepHypRef Expression
1 pssssd.1 . 2 (φAB)
2 pssne 3365 . 2 (ABAB)
31, 2syl 15 1 (φAB)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wne 2516  wpss 3258
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 177  df-an 360  df-pss 3261
This theorem is referenced by: (None)
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