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heading="Bouba" and "Kiki" |
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edit Topics in Nonlinear Dynamics and Chaos Theory x Text Here

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Test

Type Theory	Logic	Set Theory	Homotopy Theory
$A$	proposition	set	space
$a : A$	proof	element	point
$B(x)$	predicate	family of sets	fibration
$b(x) : B(x)$	conditional proof	family of elements	section
$0, 1$	$\top, \bot$	$\varnothing, \{\varnothing\}$	$\varnothing, \star$
$A + B$	$A \vee B$	disjoint union	coproduct of spaces
$A \times B$	$A \wedge B$	set of pairs	product of spaces
$A \to B$	$A \implies B$	set of functions	function space
$\sum_{(x:A)} B(x)$	$\exists_{x : A}B(x)$	disjoint sum	total space
$\prod_{(x:A)} B(x)$	$\forall_{x : A}B(x)$	product	space of sections
$\mathrm{Id}_x$	equality	$\{(x,x)\; :\; x \in A\}$	path space $\mathcal{P}(A)$