There are many weak forms of "Fubini's theorem" with strong hypotheses in elementary calculus texts. However, these strong hypotheses are very unnatural and are thus hard to memorize. Compared to that, the full Fubini's theorem (in measure space) is actually relatively easy to memorize in comparison.
Furthermore: I am wondering if this is also the case for multivariable calculus.
I'm currently studying "implicit function theorem", and I find the hypotheses for the theorem to be quite hard to memorize. Are theorems in mutivariable calculus easier to memorize in the context of manifolds?