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Checking if expressions are equivalent, using certain equations

Let's say I have a bunch of formulas, and want to check if 2 expressions are the same, using those formulas:

Example:

F=m*a
W=F*s
m=rho*V

Now I would want to use something like full_simplify() on an expression like W-rho*V*a*s, to check that W and rho*V*a*s are indeed equivalent. I would like to be able to tell Sage which equations are allowed to be used for this simplification process