From c690a68ba0b78b913cbcb60f7508d431071d4c79 Mon Sep 17 00:00:00 2001
From: Vincent Semeria
Date: Fri, 4 Oct 2019 18:29:58 +0200
Subject: 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.
---
doc/changelog/10-standard-library/10827-dedekind-reals.rst | 11 +++++++++++
doc/stdlib/index-list.html.template | 3 ++-
2 files changed, 13 insertions(+), 1 deletion(-)
create mode 100644 doc/changelog/10-standard-library/10827-dedekind-reals.rst
(limited to 'doc')
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