Theorem ssab2 2120

Description: Subclass relation for the restriction of a class abstraction.

Assertion

Ref	Expression
ssab2	|- {x | (x e. A /\ ph)} (_ A

Distinct variable group:   x,A

Proof of Theorem ssab2

Step	Hyp	Ref	Expression
1		pm3.26 319	. 2 |- ((x e. A /\ ph) -> x e. A)
2	1	abssi 2112	1 |- {x | (x e. A /\ ph)} (_ A

Syntax hints:   /\ wa 223   e. wcel 955  {cab 1456   (_ wss 2037

This theorem is referenced by:  ssrab2 2121  zfausab 2713  exss 2759  onminex 3010  dmopabss 3310  fabexg 3638  sumex 6919  chsssh 9015  qusp 10430

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 959  ax-gen 960  ax-8 961  ax-10 963  ax-12 965  ax-17 968  ax-4 970  ax-5o 972  ax-6o 975  ax-9o 1119  ax-10o 1136  ax-16 1206  ax-11o 1213  ax-ext 1452

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 978  df-sb 1168  df-clab 1457  df-cleq 1462  df-clel 1465  df-in 2041  df-ss 2043

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