diff options
Diffstat (limited to 'doc/sphinx/language')
| -rw-r--r-- | doc/sphinx/language/gallina-extensions.rst | 12 | ||||
| -rw-r--r-- | doc/sphinx/language/gallina-specification-language.rst | 33 |
2 files changed, 30 insertions, 15 deletions
diff --git a/doc/sphinx/language/gallina-extensions.rst b/doc/sphinx/language/gallina-extensions.rst index 78428be18f..bdfdffeaad 100644 --- a/doc/sphinx/language/gallina-extensions.rst +++ b/doc/sphinx/language/gallina-extensions.rst @@ -1629,8 +1629,8 @@ The syntax is supported in all top-level definitions: :cmd:`Definition`, :cmd:`Fixpoint`, :cmd:`Lemma` and so on. For (co-)inductive datatype declarations, the semantics are the following: an inductive parameter declared as an implicit argument need not be repeated in the inductive -definition but will become implicit for the constructors of the -inductive only, not the inductive type itself. For example: +definition and will become implicit for the inductive type and the constructors. +For example: .. coqtop:: all @@ -1983,6 +1983,8 @@ Deactivation of implicit arguments for parsing to be given as if no arguments were implicit. By symmetry, this also affects printing. +.. _canonical-structure-declaration: + Canonical structures ~~~~~~~~~~~~~~~~~~~~ @@ -1993,6 +1995,7 @@ value. The complete documentation of canonical structures can be found in :ref:`canonicalstructures`; here only a simple example is given. .. cmd:: {? Local | #[local] } Canonical {? Structure } @qualid + :name: Canonical Structure This command declares :token:`qualid` as a canonical instance of a structure (a record). When the :g:`#[local]` attribute is given the effect @@ -2547,3 +2550,8 @@ the context to help inferring the types of the remaining arguments. Arguments ex_intro _ _ & _ _. Check (ex_intro _ true _ : exists n : nat, n > 0). + +Coq will attempt to produce a term which uses the arguments you +provided, but in some cases involving Program mode the arguments after +the bidirectionality starts may be replaced by convertible but +syntactically different terms. diff --git a/doc/sphinx/language/gallina-specification-language.rst b/doc/sphinx/language/gallina-specification-language.rst index 368724f9d2..d591718b17 100644 --- a/doc/sphinx/language/gallina-specification-language.rst +++ b/doc/sphinx/language/gallina-specification-language.rst @@ -327,11 +327,8 @@ function on type :g:`A`). The keyword :g:`fun` can be followed by several binders as given in Section :ref:`binders`. Functions over several variables are equivalent to an iteration of one-variable functions. For instance the expression -“fun :token:`ident`\ :math:`_{1}` … :token:`ident`\ :math:`_{n}` -: :token:`type` => :token:`term`” -denotes the same function as “ fun :token:`ident`\ -:math:`_{1}` : :token:`type` => … -fun :token:`ident`\ :math:`_{n}` : :token:`type` => :token:`term`”. If +:n:`fun {+ @ident__i } : @type => @term` +denotes the same function as :n:`{+ fun @ident__i : @type => } @term`. If a let-binder occurs in the list of binders, it is expanded to a let-in definition (see Section :ref:`let-in`). @@ -362,15 +359,14 @@ the propositional implication and function types. Applications ------------ -The expression :token:`term`\ :math:`_0` :token:`term`\ :math:`_1` denotes the -application of :token:`term`\ :math:`_0` to :token:`term`\ :math:`_1`. +The expression :n:`@term__fun @term` denotes the application of +:n:`@term__fun` (which is expected to have a function type) to +:token:`term`. -The expression :token:`term`\ :math:`_0` :token:`term`\ :math:`_1` ... -:token:`term`\ :math:`_n` denotes the application of the term -:token:`term`\ :math:`_0` to the arguments :token:`term`\ :math:`_1` ... then -:token:`term`\ :math:`_n`. It is equivalent to ( … ( :token:`term`\ :math:`_0` -:token:`term`\ :math:`_1` ) … ) :token:`term`\ :math:`_n` : associativity is to the -left. +The expression :n:`@term__fun {+ @term__i }` denotes the application +of the term :n:`@term__fun` to the arguments :n:`@term__i`. It is +equivalent to :n:`( … ( @term__fun @term__1 ) … ) @term__n`: +associativity is to the left. The notation :n:`(@ident := @term)` for arguments is used for making explicit the value of implicit arguments (see @@ -1624,6 +1620,17 @@ variety of commands: :n:`@string__1` is the actual notation, :n:`@string__2` is the version number, :n:`@string__3` is the note. +``canonical`` + This attribute can decorate a :cmd:`Definition` or :cmd:`Let` command. + It is equivalent to having a :cmd:`Canonical Structure` declaration just + after the command. + + This attirbute can take the value ``false`` when decorating a record field + declaration with the effect of preventing the field from being involved in + the inference of canonical instances. + + See also :ref:`canonical-structure-declaration`. + .. example:: .. coqtop:: all reset warn |