Theorem nfaba1 2356

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 1565	. 2 |- F/ x A. x ph
2	1	nfab 2355	1 |- F/_ x { y | A. x ph }

Syntax hints:   A.wal 1371   {cab 2193   F/_wnfc 2337

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 711  ax-5 1471  ax-7 1472  ax-gen 1473  ax-ie1 1517  ax-ie2 1518  ax-8 1528  ax-10 1529  ax-11 1530  ax-i12 1531  ax-bndl 1533  ax-4 1534  ax-17 1550  ax-i9 1554  ax-ial 1558  ax-i5r 1559

This theorem depends on definitions:  df-bi 117  df-nf 1485  df-sb 1787  df-clab 2194  df-nfc 2339

This theorem is referenced by:  nfopd  3850  nfimad  5050  nfiota1  5253  nffvd  5611