Theorem nfaba1 2338

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 1552	. 2 |- F/ x A. x ph
2	1	nfab 2337	1 |- F/_ x { y | A. x ph }

Syntax hints:   A.wal 1362   {cab 2175   F/_wnfc 2319

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 710  ax-5 1458  ax-7 1459  ax-gen 1460  ax-ie1 1504  ax-ie2 1505  ax-8 1515  ax-10 1516  ax-11 1517  ax-i12 1518  ax-bndl 1520  ax-4 1521  ax-17 1537  ax-i9 1541  ax-ial 1545  ax-i5r 1546

This theorem depends on definitions:  df-bi 117  df-nf 1472  df-sb 1774  df-clab 2176  df-nfc 2321

This theorem is referenced by:  nfopd  3810  nfimad  4994  nfiota1  5195  nffvd  5542