Apply an Arbitrary Function to Equations

The function ApplySides intelligently applies a function to all sides of an equation or inequality, avoiding the need to use abstract structural operations such as Map and Thread.

For example, ApplySides can exponentiate both sides of an equation.

It can apply a function to an equality with more than two expressions.

Take the sine of both sides of an equation with a condition attached.

Apply an arbitrary function to both sides of several inequalities inside a piecewise expression.