Theorem abid2fOLD 2649

Description: Obsolete proof of abid2f 2648 as of 17-Nov-2019. (Contributed by NM, 5-Sep-2011.) (Revised by Mario Carneiro, 7-Oct-2016.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
abid2f.1

Assertion

Ref	Expression
abid2fOLD

Proof of Theorem abid2fOLD

Step	Hyp	Ref	Expression
1		abid2f.1	. . . . 5
2		nfab1 2621	. . . . 5
3	1, 2	cleqf 2646	. . . 4
4		abid 2444	. . . . . 6
5	4	bibi2i 313	. . . . 5
6	5	albii 1640	. . . 4
7	3, 6	bitri 249	. . 3
8		biid 236	. . 3
9	7, 8	mpgbir 1622	. 2
10	9	eqcomi 2470	1

Syntax hints:  <->wb 184  A.wal 1393  =wceq 1395  e.wcel 1818  {cab 2442  F/_wnfc 2605

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607