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| author | Jim Fehrle | 2020-09-12 20:54:22 -0700 |
|---|---|---|
| committer | Jim Fehrle | 2020-12-30 11:48:37 -0800 |
| commit | e02120ed6580733db2276f0c11b4f432ea670ee3 (patch) | |
| tree | 19c809eeea61fe131e4b4b15bc0bc72c617cce53 /doc/sphinx/language/core/conversion.rst | |
| parent | 532cbed036c48ed2c77528b79fc947c4bc7e1c10 (diff) | |
Convert rewriting and proof-mode chapters to prodn
Diffstat (limited to 'doc/sphinx/language/core/conversion.rst')
| -rw-r--r-- | doc/sphinx/language/core/conversion.rst | 5 |
1 files changed, 3 insertions, 2 deletions
diff --git a/doc/sphinx/language/core/conversion.rst b/doc/sphinx/language/core/conversion.rst index 7395b12339..09c619338b 100644 --- a/doc/sphinx/language/core/conversion.rst +++ b/doc/sphinx/language/core/conversion.rst @@ -47,7 +47,7 @@ refer the interested reader to :cite:`Coq85`. ι-reduction ~~~~~~~~~~~ -A specific conversion rule is associated to the inductive objects in +A specific conversion rule is associated with the inductive objects in the global environment. We shall give later on (see Section :ref:`Well-formed-inductive-definitions`) the precise rules but it just says that a destructor applied to an object built from a @@ -159,7 +159,8 @@ relation :math:`t` reduces to :math:`u` in the global environment reductions β, δ, ι or ζ. We say that two terms :math:`t_1` and :math:`t_2` are -*βδιζη-convertible*, or simply :gdef:`convertible`, or *equivalent*, in the +*βδιζη-convertible*, or simply :gdef:`convertible`, or +:term:`definitionally equal <definitional equality>`, in the global environment :math:`E` and local context :math:`Γ` iff there exist terms :math:`u_1` and :math:`u_2` such that :math:`E[Γ] ⊢ t_1 \triangleright … \triangleright u_1` and :math:`E[Γ] ⊢ t_2 \triangleright … \triangleright u_2` and either :math:`u_1` and |