The group of boundary fixing homeomorphisms of the disc is not left-orderable

A left-order on a group G is a total order < on G such that for any f, g and h in G we have f < g double left right arrow hf < hg. We construct a finitely generated subgroup H of Homeo(I-2; delta I-2), the group of those homeomorphisms of the disc that fix the boundary pointwise, and show H does not admit a left-order. Since any left-order on Homeo(I-2; delta I-2) would restrict to a left-order on H, this shows that Homeo(I-2; delta I-2) does not admit a left-order. Since Homeo(I; delta I) admits a left-order, it follows that neither H nor Homeo(I-2; delta I-2) embed in Homeo(I; delta I).