A general-purpose alternative to Coq's standard library. TLC relies on the axioms of functional extensionality, propositional extensionality, and indefinite description (also known as Hilbert's epsilon operator). The consequences of these axioms include the law of the excluded middle as well as proof irrelevance. Accepting these axioms often makes life significantly simpler. TLC takes advantage of Coq's type class mechanism. In particular, this allows for common operators and lemma names for all container data structures and all order relations. TLC includes the optimal fixed point combinator, which allows arbitrarily-complex recursive and co-recursive definitions. TLC provides a collection of tactics that enhance the default tactics provided by Coq. These tactics help construct more concise and more robust proof scripts.
opam install coq-tlc.20180316