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Theorem 3ecase 1286
Description: Inference for elimination by cases. (Contributed by NM, 13-Jul-2005.)
Hypotheses
Ref Expression
3ecase.1
3ecase.2
3ecase.3
3ecase.4
Assertion
Ref Expression
3ecase

Proof of Theorem 3ecase
StepHypRef Expression
1 3ecase.4 . . . 4
213exp 1150 . . 3
3 3ecase.1 . . . . 5
43a1d 22 . . . 4
54a1d 22 . . 3
62, 5pm2.61i 156 . 2
7 3ecase.2 . 2
8 3ecase.3 . 2
96, 7, 8pm2.61nii 158 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   w3a 934
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 177  df-an 360  df-3an 936
This theorem is referenced by: (None)
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