diff options
| author | Vincent Laporte | 2019-08-05 11:35:10 +0000 |
|---|---|---|
| committer | Vincent Laporte | 2019-08-05 11:35:10 +0000 |
| commit | fcdfbddbd75218a6d67c965ce363fb2a8984e224 (patch) | |
| tree | d6338f37975a8ffefa31543bddfdd65c6935de96 /doc | |
| parent | 5f7c88d0835631ed4fdaf6dc056c958bf8865b56 (diff) | |
| parent | 08c9ac8e0919ed7e6c001542c2094640f1d7bd73 (diff) | |
Merge PR #10445: Split constructive and classical axioms for real numbers
Ack-by: Zimmi48
Ack-by: silene
Diffstat (limited to 'doc')
| -rw-r--r-- | doc/changelog/10-standard-library/10445-constructive-reals.rst | 12 | ||||
| -rw-r--r-- | doc/stdlib/index-list.html.template | 3 |
2 files changed, 15 insertions, 0 deletions
diff --git a/doc/changelog/10-standard-library/10445-constructive-reals.rst b/doc/changelog/10-standard-library/10445-constructive-reals.rst new file mode 100644 index 0000000000..d69056fc2f --- /dev/null +++ b/doc/changelog/10-standard-library/10445-constructive-reals.rst @@ -0,0 +1,12 @@ +- New module `Reals.ConstructiveCauchyReals` defines constructive real numbers + by Cauchy sequences of rational numbers. Classical real numbers are now defined + as a quotient of these constructive real numbers, which significantly reduces + the number of axioms needed (see `Reals.Rdefinitions` and `Reals.Raxioms`), + while preserving backward compatibility. + + Futhermore, the new axioms for classical real numbers include the limited + principle of omniscience (`sig_forall_dec`), which is a logical principle + instead of an ad hoc property of the real numbers. + + See `#10445 <https://github.com/coq/coq/pull/10445>`_, by Vincent Semeria, + with the help and review of Guillaume Melquiond and Bas Spitters. diff --git a/doc/stdlib/index-list.html.template b/doc/stdlib/index-list.html.template index 8b5ede7036..dcfe4a08f3 100644 --- a/doc/stdlib/index-list.html.template +++ b/doc/stdlib/index-list.html.template @@ -514,7 +514,9 @@ through the <tt>Require Import</tt> command.</p> </dt> <dd> theories/Reals/Rdefinitions.v + theories/Reals/ConstructiveCauchyReals.v theories/Reals/Raxioms.v + theories/Reals/ConstructiveRIneq.v theories/Reals/RIneq.v theories/Reals/DiscrR.v theories/Reals/ROrderedType.v @@ -559,6 +561,7 @@ through the <tt>Require Import</tt> command.</p> theories/Reals/Ranalysis5.v theories/Reals/Ranalysis_reg.v theories/Reals/Rcomplete.v + theories/Reals/ConstructiveRcomplete.v theories/Reals/RiemannInt.v theories/Reals/RiemannInt_SF.v theories/Reals/Rpow_def.v |