diff options
| author | Vincent Semeria | 2019-10-04 18:29:58 +0200 |
|---|---|---|
| committer | Vincent Semeria | 2019-10-24 21:38:33 +0200 |
| commit | c690a68ba0b78b913cbcb60f7508d431071d4c79 (patch) | |
| tree | e19ee1fdb18571ae6e04ca4c5f3a16b07e67bd11 /doc | |
| parent | ac54c19e1beca7663ae7742512d110a114ce9a62 (diff) | |
Replace classical reals quotient axioms by functional extensionality. Define homotopy propositions and homotopy sets. Rename local variable R in test Nsatz, to avoid a name collision with the type of real numbers.
Diffstat (limited to 'doc')
| -rw-r--r-- | doc/changelog/10-standard-library/10827-dedekind-reals.rst | 11 | ||||
| -rw-r--r-- | doc/stdlib/index-list.html.template | 3 |
2 files changed, 13 insertions, 1 deletions
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. diff --git a/doc/stdlib/index-list.html.template b/doc/stdlib/index-list.html.template index d1b98b94a3..df7cda9aad 100644 --- a/doc/stdlib/index-list.html.template +++ b/doc/stdlib/index-list.html.template @@ -68,6 +68,7 @@ through the <tt>Require Import</tt> command.</p> theories/Logic/WKL.v theories/Logic/FinFun.v theories/Logic/PropFacts.v + theories/Logic/HLevels.v </dd> <dt> <b>Structures</b>: @@ -518,8 +519,8 @@ through the <tt>Require Import</tt> command.</p> theories/Reals/ConstructiveRealsMorphisms.v theories/Reals/ConstructiveCauchyReals.v theories/Reals/ConstructiveCauchyRealsMult.v + theories/Reals/ClassicalDedekindReals.v theories/Reals/Raxioms.v - theories/Reals/ConstructiveRIneq.v theories/Reals/ConstructiveRealsLUB.v theories/Reals/RIneq.v theories/Reals/DiscrR.v |