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@djspacewhale djspacewhale commented Jul 27, 2025

Introducing free magmas, using the infrastructure of full binary trees. Assuming all magmas in sight are sets, we may also prove their universal property.

merging nix upgrade to 2.7.0; faster typechecking for all
merging no-postfix-projections PR into branches
…tor out an eq-htpy-hom-Magma block in morphisms-magmas
…e definition for extension-of-map-labeled-full-binary-tree-Magma...
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As there's that annoying identification that wasn't judgementally refl, I'm characterizing identifications of labeled full binary trees to give a path doing the trick. Unlabeled full binary trees are characterized and labeled ones are mostly so; a few goals to complete the structure identity principle application remain.

This PR likely won't end up including the free wild monoid characterization as promised; this feels a large enough scope as is.

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