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Theorem nfoprab2 5547
Description: The abstraction variables in an operation class abstraction are not free. (Contributed by NM, 25-Apr-1995.) (Revised by David Abernethy, 30-Jul-2012.)
Assertion
Ref Expression
nfoprab2  F/_

Proof of Theorem nfoprab2
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 df-oprab 5528 . 2
2 nfe1 1732 . . . 4  F/
32nfex 1843 . . 3  F/
43nfab 2493 . 2  F/_
51, 4nfcxfr 2486 1  F/_
Colors of variables: wff setvar class
Syntax hints:   wa 358  wex 1541   wceq 1642  cab 2339   F/_wnfc 2476  cop 4561  coprab 5527
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-oprab 5528
This theorem is referenced by:  ov3  5599  nfmpt22  5674
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