Haskell bidirectional arrows, bijective functions, and invariant functors

Representations and operations for bidirectional arrows (total isomorphisms: an
arrow paired with its inverse). Classes for invariant functors and monoidal
functors. Includes a number of useful bijections and operations, as well as
interoperability with related packages.

See also: semigroupoids, TypeCompose, lens, semi-iso, partial-isomorphisms, and
Piso packages.

Artem Alimarine, et al. There and Back Again: Arrows for Invertible
Programming. Haskell '05.
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