Jack and Jill

$J_a \cap J_i$	$\frac{dh}{dt} > 0$	$(h_{base} \to h_{well}) \in \mathbb{X}_{hill}$
Jack and Jill	went up	the hill,

$J_{a}, J_{i} \in \{\text{kids(h, p, c)}\}; \space \frac{dh}{dt} > 0$

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$(x_{i}, \emptyset) \to (x_{j}, \mathbb{1}) \to (x_{i},\mathbb{1})$	$p \ni w$	$= p_{full}$
To fetch	a pail of	water.

$(p_{full} \cap h_{well}) \to (p_{full} \cap h_{base})$

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$J_a$	$\frac{dh_{J_{a}}}{dt} \bigg\|_{t=t_1} \ll 0$
Jack	fell down,

$\exists t_1 \text{ s.t. } \frac{dh_{J_{a}}}{dt} \bigg|_{t=t_1} \ll 0$

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$c\{c_{1}\} \to c\{\bigcup_{i=1}^{n>1} c_i\}$	$c_{J_{a}}$
And broke	his crown.

$c_{1} \to \bigcup_{i=1}^{n} c_i \quad (n \ge 2, \quad C_i \cap C_j = \emptyset \text{ for } i \neq j)$

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$J_{i}$	$\frac{dh_{J_{i}}}{dt} \bigg\|_{t=t_2} \ll 0$	$\exists t_2 > t_1$
And Jill	came tumbling	after.

$\exists t_2 > t_1 \text{ s.t. } \frac{dh_{J_{i}}}{dt} \bigg|_{t=t_2} \ll 0$