The synthesis of 5-substituted 6,6a-dihydroisoindolo[2,1-a]quinolin-11(5H)-ones via [4 + 2] imino-Diels-Alder cyclization from N-aryl-3-hydroxyisoindolinones and N-vinyl lactams under Lewis acid-catalysed anhydrous conditions is reported. Reactions of N-(2-substituted-aryl)-3-hydroxyisoindolinones with N-vinylpyrrolidone under identical conditions resulted in the formation of 2-(2-substitued-ar...

Synthesis of 4-(N,N- dimethylamino)-3-aryl-3-butene-2-one, ethyl-5-aryl-4-oxo-4H-pyran-2-carboxylate, ethyl-5-aryl-4-pyridones-2-carboxylate and 5-aryl-3-cyano-5-methyl-2-pyridones (aryl=3-thienyl, 2-furyl) are described.

synthesis of 4-(n,n- dimethylamino)-3-aryl-3-butene-2-one, ethyl-5-aryl-4-oxo-4h-pyran-2-carboxylate, ethyl-5-aryl-4-pyridones-2-carboxylate and 5-aryl-3-cyano-5-methyl-2-pyridones (aryl=3-thienyl, 2-furyl) are described.

Before presenting the details of the principle of mathematical induction let’s understand the situations to which it applies. We’ve seen that to prove a universal assertion, we start by setting up the scenario that represents the hypothesis of the assertion. This scenario involves certain hypothetical objects, and certain assumptions. We then use the information of the scenario to work towards ...