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Mirrors > Home > ILE Home > Th. List > pssss | Unicode version |
Description: A proper subclass is a subclass. Theorem 10 of [Suppes] p. 23. (Contributed by NM, 7-Feb-1996.) |
Ref | Expression |
---|---|
pssss |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-pss 2933 | . 2 | |
2 | 1 | simplbi 259 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wne 2204 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: pssssd 3041 sspssr 3043 pssn2lp 3045 sspsstrir 3046 psstr 3049 sspsstr 3050 psssstr 3051 |
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