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Theorem sselda 3273
 Description: Membership deduction from subclass relationship. (Contributed by NM, 26-Jun-2014.)
Hypothesis
Ref Expression
sseld.1
Assertion
Ref Expression
sselda

Proof of Theorem sselda
StepHypRef Expression
1 sseld.1 . . 3
21sseld 3272 . 2
32imp 418 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 358   wcel 1710   wss 3257 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-nan 1288  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-ss 3259 This theorem is referenced by:  vfinncvntsp  4549  vfinspsslem1  4550  vfinspclt  4552  ffvresb  5431  spaccl  6286  spacis  6288  nchoicelem4  6292
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