DEFINITION and5_ind()
TYPE =
       ∀P0:Prop
         .∀P1:Prop
           .∀P2:Prop
             .∀P3:Prop.∀P4:Prop.∀P:Prop.(P0→P1→P2→P3→P4→P)→(and5 P0 P1 P2 P3 P4)→P
BODY =
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