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Theorem jaao 509
Description: Inference conjoining and disjoining the antecedents of two implications. (Contributed by NM, 30-Sep-1999.)
Hypotheses
Ref Expression
jaao.1
jaao.2
Assertion
Ref Expression
jaao

Proof of Theorem jaao
StepHypRef Expression
1 jaao.1 . . 3
21adantr 465 . 2
3 jaao.2 . . 3
43adantl 466 . 2
52, 4jaod 380 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  \/wo 368  /\wa 369
This theorem is referenced by:  pm3.44  511  pm3.48  833  prlem1  962  ordtri1  4916  ordun  4984  suc11  4986  funun  5635  poxp  6912  suc11reg  8057  rankunb  8289  gruun  9205  ofpreima2  27508
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371
  Copyright terms: Public domain W3C validator