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,

$J_a,J_i\in \{\text{kids(h, p, c)}\};\frac{dh}{dt}>0$

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$(x_i,\varnothing )\to (x_j,1)\to (x_i,1)$	$p\ni w$	$=p_{full}$
To fetch	a pail of	water.

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

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$J_a$	$\frac{d{h}_{J_a}}{dt}{\Vert }_{t=t_1}\ll 0$
Jack	fell down,

$\exists t_1\text{ s.t. }\frac{d{h}_{J_a}}{dt}{|}_{t=t_1}\ll 0$

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$c\{c_1\}\to c\{{\bigcup }_{i=1}^{n>1}{c}_i\}$	$c_{J_a}$
And broke	his crown.

$c_1\to {\bigcup }_{i=1}^n{c}_i(n\ge 2,C_i\cap C_j=\varnothing \text{ for }i\ne j)$

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$J_i$	$\frac{d{h}_{J_i}}{dt}{\Vert }_{t=t_2}\ll 0$	$\exists t_2>t_1$
And Jill	came tumbling	after.

$\exists t_2>t_1\text{ s.t. }\frac{d{h}_{J_i}}{dt}{|}_{t=t_2}\ll 0$