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Theorem simp33r 1301
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 1202 . 2 ((𝜒𝜃 ∧ (𝜑𝜓)) → 𝜓)
213ad2ant3 1135 1 ((𝜏𝜂 ∧ (𝜒𝜃 ∧ (𝜑𝜓))) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 396  w3a 1087
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 206  df-an 397  df-3an 1089
This theorem is referenced by:  totprob  32839  cdleme19b  38705  cdleme19e  38708  cdleme20h  38717  cdleme20l2  38722  cdleme20m  38724  cdleme21d  38731  cdleme21e  38732  cdleme22eALTN  38746  cdleme22f2  38748  cdleme22g  38749  cdleme26e  38760  cdleme37m  38863  cdlemeg46gfre  38933  cdlemg28a  39094  cdlemg28b  39104  cdlemk5a  39236  cdlemk6  39238
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