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Theorem ecase 933
Description: Inference for elimination by cases. (Contributed by NM, 13-Jul-2005.)
Hypotheses
Ref Expression
ecase.1
ecase.2
ecase.3
Assertion
Ref Expression
ecase

Proof of Theorem ecase
StepHypRef Expression
1 ecase.3 . . 3
21ex 434 . 2
3 ecase.1 . 2
4 ecase.2 . 2
52, 3, 4pm2.61nii 166 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  /\wa 369
This theorem is referenced by:  elfiun  7816  hashprb  12315  txindislem  19605  1to3vfriswmgra  31476
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-an 371
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