Is "Do the same thing to both sides of an equation, and it still holds" an axiom? – math.stackexchange.com

Is "Do the same thing to both sides of an equation, and it still holds" an axiom? – math.stackexchange.com

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Recently I have started reviewing mathematical notions, that I have always just accepted. Today it is one of the fundamental ones used in equations: If we have an equation, then the equation holds ...

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