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Definition df-pss 2927
Description: Define proper subclass relationship between two classes. Definition 5.9 of [TakeutiZaring] p. 17. Note that  C. (proved in pssirr 3038). Contrast this relationship with the relationship  C_ (as defined in df-ss 2925). Other possible definitions are given by dfpss2 3023 and dfpss3 3024. (Contributed by NM, 7-Feb-1996.)
Assertion
Ref Expression
df-pss  C.  C_  =/=

Detailed syntax breakdown of Definition df-pss
StepHypRef Expression
1 cA . . 3
2 cB . . 3
31, 2wpss 2912 . 2  C.
41, 2wss 2911 . . 3  C_
51, 2wne 2201 . . 3  =/=
64, 5wa 97 . 2  C_  =/=
73, 6wb 98 1  C. 
C_  =/=
Colors of variables: wff set class
This definition is referenced by:  dfpss2  3023  psseq1  3025  psseq2  3026  pssss  3033  pssne  3034  nssinpss  3163  0pss  3259  difsnpssim  3498
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