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Theorem simp332 1326
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp332 ((𝜂𝜁 ∧ (𝜃𝜏 ∧ (𝜑𝜓𝜒))) → 𝜓)

Proof of Theorem simp332
StepHypRef Expression
1 simp32 1209 . 2 ((𝜃𝜏 ∧ (𝜑𝜓𝜒)) → 𝜓)
213ad2ant3 1134 1 ((𝜂𝜁 ∧ (𝜃𝜏 ∧ (𝜑𝜓𝜒))) → 𝜓)
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1086
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 207  df-an 396  df-3an 1088
This theorem is referenced by:  ivthALT  36318  dalemclqjt  39618  dath2  39720  cdlema1N  39774  cdleme26eALTN  40344  cdlemk7u  40853  cdlemk11u  40854  cdlemk12u  40855  cdlemk23-3  40885  cdlemk33N  40892  cdlemk11ta  40912  cdlemk11tc  40928  cdlemk54  40941
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