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Theorem mptv 4544
Description: Function with universal domain in maps-to notation. (Contributed by NM, 16-Aug-2013.)
Assertion
Ref Expression
mptv
Distinct variable groups:   ,   ,

Proof of Theorem mptv
StepHypRef Expression
1 df-mpt 4512 . 2
2 vex 3112 . . . 4
32biantrur 506 . . 3
43opabbii 4516 . 2
51, 4eqtr4i 2489 1
Colors of variables: wff setvar class
Syntax hints:  /\wa 369  =wceq 1395  e.wcel 1818   cvv 3109  {copab 4509  e.cmpt 4510
This theorem is referenced by:  df1st2  6886  df2nd2  6887  fsplit  6905  rankf  8233  cnmptid  20162
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-v 3111  df-opab 4511  df-mpt 4512
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