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Theorem pssssd 3041
Description: Deduce subclass from proper subclass. (Contributed by NM, 29-Feb-1996.)
Hypothesis
Ref Expression
pssssd.1 (𝜑𝐴𝐵)
Assertion
Ref Expression
pssssd (𝜑𝐴𝐵)

Proof of Theorem pssssd
StepHypRef Expression
1 pssssd.1 . 2 (𝜑𝐴𝐵)
2 pssss 3039 . 2 (𝐴𝐵𝐴𝐵)
31, 2syl 14 1 (𝜑𝐴𝐵)
Colors of variables: wff set class
Syntax hints:  wi 4  wss 2917  wpss 2918
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99
This theorem depends on definitions:  df-bi 110  df-pss 2933
This theorem is referenced by: (None)
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