Wolfram Language (Mathematica), 26 bytes

#2~##&~#&@@@#~Partition~2&

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Wolfram Language (Mathematica), 22 bytes

0<##<1||#2&&#&&#0@##3&

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Input [L...], and returns in an And. Works on integer inputs.

Wolfram Language (Mathematica) , 24 bytes

{}=={##}||#2&&#&&#0@##3&

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Input [L...], and returns in an And. Works on non-boolean inputs.

Wolfram Language (Mathematica) , 26 bytes

#2~##&~#&@@@#~Partition~2&

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Input [L], and returns a list. Works.