There is a logical or mathematical symbol for compatibility/incompatibility?

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Exists a symbol in logic or mathematics to relate two or more compatibility or incompatibility conditions? I dont want to specify a determined area of study (topology, algebra, etc...) I just want to know about this topic in a broad sense, if it exists something like this and the related area.

This is just for curiosity, sorry if my question is so undefined or broad but I dont have any clue about this.