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Theorem nfmpt22 5654
 Description: Bound-variable hypothesis builder for an operation in maps-to notation. (Contributed by NM, 27-Aug-2013.)
Assertion
Ref Expression
nfmpt22

Proof of Theorem nfmpt22
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 df-mpt2 5599 . 2
2 nfoprab2 5637 . 2
31, 2nfcxfr 2222 1
 Colors of variables: wff set class Syntax hints:   wa 102   wceq 1287   wcel 1436  wnfc 2212  coprab 5595   cmpt2 5596 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663  ax-5 1379  ax-7 1380  ax-gen 1381  ax-ie1 1425  ax-ie2 1426  ax-8 1438  ax-10 1439  ax-11 1440  ax-i12 1441  ax-bndl 1442  ax-4 1443  ax-17 1462  ax-i9 1466  ax-ial 1470  ax-i5r 1471  ax-ext 2067 This theorem depends on definitions:  df-bi 115  df-nf 1393  df-sb 1690  df-clab 2072  df-cleq 2078  df-clel 2081  df-nfc 2214  df-oprab 5598  df-mpt2 5599 This theorem is referenced by:  ovmpt2s  5706  ov2gf  5707  ovmpt2dxf  5708  ovmpt2df  5714  ovmpt2dv2  5716  xpcomco  6475  mapxpen  6497
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