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Theorem pssned 3683
Description: Proper subclasses are unequal. Deduction form of pssne 3681. (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 3681 . 2 (𝐴𝐵𝐴𝐵)
31, 2syl 17 1 (𝜑𝐴𝐵)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wne 2790  wpss 3556
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 197  df-an 386  df-pss 3571
This theorem is referenced by:  ackbij1lem15  9000  canthnumlem  9414  canthp1lem2  9419  mrieqv2d  16220  slwpss  17948  topdifinffinlem  32827  lsatssn0  33769  islshpcv  33820  lkrpssN  33930
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