= Restriction exponent of a chordal filling
{title2=$\mathbb P(K\cap A=\varnothing)=\Phi_A'(0)^\alpha$}
= Restriction exponents of a chordal filling
{synonym}
A conformally invariant random <chordal filling> has exponent $\alpha$ when its avoidance probability for every admissible hull $A$ is the displayed power, where $\Phi_A$ fixes zero and has derivative one at infinity. Composition of two hull-removing maps and the chain rule make conditional image avoidance probabilities the same as unconditional ones. The <avoidance probabilities determine a chordal filling law> principle therefore implies the <chordal restriction property>. Independent unions followed by filling add exponents, since avoidance probabilities multiply.
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