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Theorem nfd 1413
Description: Deduce that is not free in in a context. (Contributed by Mario Carneiro, 24-Sep-2016.)
Hypotheses
Ref Expression
nfd.1  F/
nfd.2
Assertion
Ref Expression
nfd  F/

Proof of Theorem nfd
StepHypRef Expression
1 nfd.1 . . . 4  F/
21nfri 1409 . . 3
3 nfd.2 . . 3
42, 3alrimih 1355 . 2
5 df-nf 1347 . 2  F/
64, 5sylibr 137 1  F/
Colors of variables: wff set class
Syntax hints:   wi 4  wal 1240   F/wnf 1346
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-4 1397
This theorem depends on definitions:  df-bi 110  df-nf 1347
This theorem is referenced by:  nfdh  1414  nfrimi  1415  nfnt  1543  cbv1h  1630  nfald  1640  a16nf  1743  dvelimALT  1883  dvelimfv  1884  nfsb4t  1887  hbeud  1919
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