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Theorem simp33r 1293
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp33r ((𝜏𝜂 ∧ (𝜒𝜃 ∧ (𝜑𝜓))) → 𝜓)

Proof of Theorem simp33r
StepHypRef Expression
1 simp3r 1194 . 2 ((𝜒𝜃 ∧ (𝜑𝜓)) → 𝜓)
213ad2ant3 1127 1 ((𝜏𝜂 ∧ (𝜒𝜃 ∧ (𝜑𝜓))) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 396  w3a 1079
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 208  df-an 397  df-3an 1081
This theorem is referenced by:  totprob  31584  cdleme19b  37320  cdleme19e  37323  cdleme20h  37332  cdleme20l2  37337  cdleme20m  37339  cdleme21d  37346  cdleme21e  37347  cdleme22eALTN  37361  cdleme22f2  37363  cdleme22g  37364  cdleme26e  37375  cdleme37m  37478  cdlemeg46gfre  37548  cdlemg28a  37709  cdlemg28b  37719  cdlemk5a  37851  cdlemk6  37853
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