Theorem nfaba1 2288

Description: Bound-variable hypothesis builder for a class abstraction. (Contributed by Mario Carneiro, 14-Oct-2016.)

Assertion

Ref	Expression
nfaba1	|- F/_ x { y | A. x ph }

Proof of Theorem nfaba1

Step	Hyp	Ref	Expression
1		nfa1 1522	. 2 |- F/ x A. x ph
2	1	nfab 2287	1 |- F/_ x { y | A. x ph }

Syntax hints:   A.wal 1330   {cab 2126   F/_wnfc 2269

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 699  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-8 1483  ax-10 1484  ax-11 1485  ax-i12 1486  ax-bndl 1487  ax-4 1488  ax-17 1507  ax-i9 1511  ax-ial 1515  ax-i5r 1516

This theorem depends on definitions:  df-bi 116  df-nf 1438  df-sb 1737  df-clab 2127  df-nfc 2271

This theorem is referenced by:  nfopd  3730  nfimad  4898  nfiota1  5098  nffvd  5441