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Theorem pssssd 3366

Description: Deduce subclass from proper subclass. (Contributed by NM, 29-Feb-1996.)

Hypothesis

Ref	Expression
pssssd.1

Assertion

Ref	Expression
pssssd

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Proof of Theorem pssssd

Step	Hyp	Ref	Expression
1		pssssd.1	. 2
2		pssss 3364	. 2
3	1, 2	syl 15	1

Colors of variables: wff setvar class

Syntax hints:   wi 4   wss 3257   wpss 3258

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8

This theorem depends on definitions:  df-bi 177  df-an 360  df-pss 3261

This theorem is referenced by:  sfinltfin  4535

Copyright terms: Public domain

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