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Theorem fss 5230
 Description: Expanding the codomain of a mapping. (The proof was shortened by Andrew Salmon, 17-Sep-2011.) (Contributed by set.mm contributors, 10-May-1998.) (Revised by set.mm contributors, 18-Sep-2011.)
Assertion
Ref Expression
fss

Proof of Theorem fss
StepHypRef Expression
1 sstr2 3279 . . . . 5
21com12 27 . . . 4
32anim2d 548 . . 3
4 df-f 4791 . . 3
5 df-f 4791 . . 3
63, 4, 53imtr4g 261 . 2
76impcom 419 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 358   wss 3257   crn 4773   wfn 4776  wf 4777 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  df-f 4791 This theorem is referenced by:  f1ss  5262  ffoss  5314  fsn2  5434  map0  6025  mapsn  6026  mapss  6027
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