INTERSECT ?

[compsystems]

Wolfram all returns set{2,3}
https://www.wolframalpha.com/input/?i=IN...,2,3,2%5D)

in CAS MODE

INTERSECT(set[1,2,3,2],set[0,2,3,2]) -> [2,3] [up] [copy] -> set[2,3] // ok

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I take this publication to make the new request, and do not a new publication =)
I would like to see in history view in pretty print
INTERSECT(set[1,2,3,2],set[0,2,3,2]) -> [1, 2, 3, 2] ∩ [0, 2, 3, 2]
or at least infix notation -> [1, 2, 3, 2] intersection [0, 2, 3, 2]
and 2-D templates for sets commands [∩] [∪] ...
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INTERSECT(set[1,2,3,2],set[0,2,3,0]) -> set[2,3] // ok
INTERSECT(set[1,2,3,4],set[2,2,3,0]) -> set[2,3] // ok
INTERSECT(set[2,2,3,0],set[1,2,3,4]) -> set[2,3] // ok
INTERSECT([1,2,3,2],[0,2,3,2]) -> {} ?
INTERSECT({1,2,3,2},{0,2,3,2}) -> {2,3,2}?

in HOME Mode

INTERSECT(set[1,2,3,2],set[0,2,3,2]) -> {2} ?
INTERSECT([1,2,3,2],[0,2,3,2]) -> {} ?
INTERSECT({1,2,3,2},{0,2,3,2}) -> {2,3,2} ?

Without complete documentation I can not determine how the calculator works =(