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Theorem nffvmpt1 5432
 Description: Bound-variable hypothesis builder for mapping, special case. (Contributed by Mario Carneiro, 25-Dec-2016.)
Assertion
Ref Expression
nffvmpt1
Distinct variable group:   ,
Allowed substitution hints:   ()   ()

Proof of Theorem nffvmpt1
StepHypRef Expression
1 nfmpt1 4021 . 2
2 nfcv 2281 . 2
31, 2nffv 5431 1
 Colors of variables: wff set class Syntax hints:  wnfc 2268   cmpt 3989  cfv 5123 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121 This theorem depends on definitions:  df-bi 116  df-3an 964  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-nfc 2270  df-rex 2422  df-v 2688  df-un 3075  df-sn 3533  df-pr 3534  df-op 3536  df-uni 3737  df-br 3930  df-opab 3990  df-mpt 3991  df-iota 5088  df-fv 5131 This theorem is referenced by:  fvmptt  5512  fmptco  5586  offval2  5997  ofrfval2  5998  mptelixpg  6628  dom2lem  6666  cc2  7082  fsumf1o  11166  fsum3cvg2  11170  fsumadd  11182  isummulc2  11202  isumshft  11266  txcnp  12450  cnmpt1t  12464
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