Intuitionistic Logic Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  ILE Home  >  Th. List  >  nfcsb Unicode version

Theorem nfcsb 2941
 Description: Bound-variable hypothesis builder for substitution into a class. (Contributed by Mario Carneiro, 12-Oct-2016.)
Hypotheses
Ref Expression
nfcsb.1
nfcsb.2
Assertion
Ref Expression
nfcsb

Proof of Theorem nfcsb
StepHypRef Expression
1 nftru 1396 . . 3
2 nfcsb.1 . . . 4
32a1i 9 . . 3
4 nfcsb.2 . . . 4
54a1i 9 . . 3
61, 3, 5nfcsbd 2940 . 2
76trud 1294 1
 Colors of variables: wff set class Syntax hints:   wtru 1286  wnfc 2207  csb 2909 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 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-10 1437  ax-11 1438  ax-i12 1439  ax-bndl 1440  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2064 This theorem depends on definitions:  df-bi 115  df-tru 1288  df-nf 1391  df-sb 1687  df-clab 2069  df-cleq 2075  df-clel 2078  df-nfc 2209  df-sbc 2817  df-csb 2910 This theorem is referenced by:  cbvralcsf  2965  cbvrexcsf  2966  cbvreucsf  2967  cbvrabcsf  2968  fmptcof  5357  mpt2mptsx  5848  dmmpt2ssx  5850  fmpt2x  5851  fmpt2co  5862  dfmpt2  5869  f1od2  5881  nfsum  10321
 Copyright terms: Public domain W3C validator