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Diffstat (limited to 'doc/changelog/10-standard-library/10827-dedekind-reals.rst')
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diff --git a/doc/changelog/10-standard-library/10827-dedekind-reals.rst b/doc/changelog/10-standard-library/10827-dedekind-reals.rst new file mode 100644 index 0000000000..5d8467025b --- /dev/null +++ b/doc/changelog/10-standard-library/10827-dedekind-reals.rst @@ -0,0 +1,11 @@ +- New module `Reals.ClassicalDedekindReals` defines Dedekind real numbers + as boolean-values functions along with 3 logical axioms: limited principle + of omniscience, excluded middle of negations and functional extensionality. + The exposed type :g:`R` in module :g:`Reals.Rdefinitions` is those + Dedekind reals, hidden behind an opaque module. + Classical Dedekind reals are a quotient of constructive reals, which allows + to transport many constructive proofs to the classical case. + + See `#10827 <https://github.com/coq/coq/pull/10827>`_, by Vincent Semeria, + based on discussions with Guillaume Melquiond, Bas Spitters and Hugo Herbelin, + code review by Hugo Herbelin. |