DeclareNonCommutative[a, b, ...] declares a,b, ... to be non-commutative, i.e., DataType[a,b, ..., NonCommutative] is set to True.
See also: DataType, UnDeclareNonCommutative.
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As a side effect of DeclareNonCommutative x is declared to be of data type NonCommutative.
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