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Theorem hblem 2580
Description: Change the free variable of a hypothesis builder. Lemma for nfcrii 2611. (Contributed by NM, 21-Jun-1993.) (Revised by Andrew Salmon, 11-Jul-2011.)
Hypothesis
Ref Expression
hblem.1
Assertion
Ref Expression
hblem
Distinct variable groups:   ,   ,

Proof of Theorem hblem
StepHypRef Expression
1 hblem.1 . . 3
21hbsb 2185 . 2
3 clelsb3 2578 . 2
43albii 1640 . 2
52, 3, 43imtr3i 265 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  A.wal 1393  [wsb 1739  e.wcel 1818
This theorem is referenced by:  nfcrii  2611  bnj1311  34080
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-ex 1613  df-nf 1617  df-sb 1740  df-cleq 2449  df-clel 2452
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