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Theorem 3anim2i 1150
Description: Add two conjuncts to antecedent and consequent. (Contributed by AV, 21-Nov-2019.)
Hypothesis
Ref Expression
3animi.1 (𝜑𝜓)
Assertion
Ref Expression
3anim2i ((𝜒𝜑𝜃) → (𝜒𝜓𝜃))

Proof of Theorem 3anim2i
StepHypRef Expression
1 id 22 . 2 (𝜒𝜒)
2 3animi.1 . 2 (𝜑𝜓)
3 id 22 . 2 (𝜃𝜃)
41, 2, 33anim123i 1148 1 ((𝜒𝜑𝜃) → (𝜒𝜓𝜃))
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1084
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 210  df-an 400  df-3an 1086
This theorem is referenced by:  syl3an2  1161  syl3anl2  1410  syl3anr2  1414  elfzo0z  13083  swrdfv0  14011  mdetunilem9  21229  chpdmat  21449  subgrprop2  27067  welb  35119  lincreslvec3  44817
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