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Theorem hblem 2542
 Description: Change the free variable of a hypothesis builder. Lemma for nfcrii 2567. (Contributed by NM, 5-Aug-1993.) (Revised by Andrew Salmon, 11-Jul-2011.)
Hypothesis
Ref Expression
hblem.1
Assertion
Ref Expression
hblem
Distinct variable groups:   ,   ,
Allowed substitution hints:   (,)

Proof of Theorem hblem
StepHypRef Expression
1 hblem.1 . . 3
21hbsb 2188 . 2
3 clelsb3 2540 . 2
43albii 1576 . 2
52, 3, 43imtr3i 258 1
 Colors of variables: wff set class Syntax hints:   wi 4  wal 1550  wsb 1659   wcel 1726 This theorem is referenced by:  nfcrii  2567  bnj1311  29455 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-cleq 2431  df-clel 2434
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