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Theorem dedth4h 3706
 Description: Weak deduction theorem eliminating four hypotheses. See comments in dedth2h 3704. (Contributed by NM, 16-May-1999.)
Hypotheses
Ref Expression
dedth4h.1
dedth4h.2
dedth4h.3
dedth4h.4
dedth4h.5
Assertion
Ref Expression
dedth4h

Proof of Theorem dedth4h
StepHypRef Expression
1 dedth4h.1 . . . 4
21imbi2d 307 . . 3
3 dedth4h.2 . . . 4
43imbi2d 307 . . 3
5 dedth4h.3 . . . 4
6 dedth4h.4 . . . 4
7 dedth4h.5 . . . 4
85, 6, 7dedth2h 3704 . . 3
92, 4, 8dedth2h 3704 . 2
109imp 418 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   wa 358   wceq 1642  cif 3662 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-if 3663 This theorem is referenced by:  dedth4v  3709
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