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- **Added:**
  Module `Reals.ConstructiveCauchyReals` defines constructive real numbers
  by Cauchy sequences of rational numbers
  (`#10445 <https://github.com/coq/coq/pull/10445>`_, by Vincent Semeria,
  with the help and review of Guillaume Melquiond and Bas Spitters).

- **Changed:** 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.

  (`#10445 <https://github.com/coq/coq/pull/10445>`_, by Vincent Semeria,
  with the help and review of Guillaume Melquiond and Bas Spitters)