Theorem pssne 3599

Description: Two classes in a proper subclass relationship are not equal. (Contributed by NM, 16-Feb-2015.)

Assertion

Ref	Expression
pssne

Proof of Theorem pssne

Step	Hyp	Ref	Expression
1		df-pss 3491	. 2
2	1	simprbi 464	1

Syntax hints:  ->wi 4  =/=wne 2652  C_wss 3475  C.wpss 3476

This theorem is referenced by:  pssned  3601  canthp1lem2  9052  mrissmrcd  15037

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 185  df-an 371  df-pss 3491