diff options
Diffstat (limited to 'doc/sphinx/user-extensions')
| -rw-r--r-- | doc/sphinx/user-extensions/proof-schemes.rst | 27 | ||||
| -rw-r--r-- | doc/sphinx/user-extensions/syntax-extensions.rst | 33 |
2 files changed, 35 insertions, 25 deletions
diff --git a/doc/sphinx/user-extensions/proof-schemes.rst b/doc/sphinx/user-extensions/proof-schemes.rst index 418922e9b3..3a12ee288a 100644 --- a/doc/sphinx/user-extensions/proof-schemes.rst +++ b/doc/sphinx/user-extensions/proof-schemes.rst @@ -336,29 +336,32 @@ Generation of induction principles with ``Functional`` ``Scheme`` Generation of inversion principles with ``Derive`` ``Inversion`` ----------------------------------------------------------------- -.. cmd:: Derive Inversion @ident with forall (x : T), I t Sort sort +.. cmd:: Derive Inversion @ident with @ident Sort @sort + Derive Inversion @ident with (forall @binders, @ident @term) Sort @sort This command generates an inversion principle for the - :tacn:`inversion ... using ...` tactic. Let :g:`I` be an inductive - predicate and :g:`x` the variables occurring in t. This command - generates and stocks the inversion lemma for the sort :g:`sort` - corresponding to the instance :g:`∀ (x:T), I t` with the name - :n:`@ident` in the global environment. When applied, it is - equivalent to having inverted the instance with the tactic - :g:`inversion`. - + :tacn:`inversion ... using ...` tactic. The first :token:`ident` is the name + of the generated principle. The second :token:`ident` should be an inductive + predicate, and :token:`binders` the variables occurring in the term + :token:`term`. This command generates the inversion lemma for the sort + :token:`sort` corresponding to the instance :n:`forall @binders, @ident @term`. + When applied, it is equivalent to having inverted the instance with the + tactic :g:`inversion`. -.. cmdv:: Derive Inversion_clear @ident with forall (x:T), I t Sort @sort +.. cmdv:: Derive Inversion_clear @ident with @ident Sort @sort + Derive Inversion_clear @ident with (forall @binders, @ident @term) Sort @sort When applied, it is equivalent to having inverted the instance with the tactic inversion replaced by the tactic `inversion_clear`. -.. cmdv:: Derive Dependent Inversion @ident with forall (x:T), I t Sort @sort +.. cmdv:: Derive Dependent Inversion @ident with @ident Sort @sort + Derive Dependent Inversion @ident with (forall @binders, @ident @term) Sort @sort When applied, it is equivalent to having inverted the instance with the tactic `dependent inversion`. -.. cmdv:: Derive Dependent Inversion_clear @ident with forall(x:T), I t Sort @sort +.. cmdv:: Derive Dependent Inversion_clear @ident with @ident Sort @sort + Derive Dependent Inversion_clear @ident with (forall @binders, @ident @term) Sort @sort When applied, it is equivalent to having inverted the instance with the tactic `dependent inversion_clear`. diff --git a/doc/sphinx/user-extensions/syntax-extensions.rst b/doc/sphinx/user-extensions/syntax-extensions.rst index edec13f681..6da42f4a48 100644 --- a/doc/sphinx/user-extensions/syntax-extensions.rst +++ b/doc/sphinx/user-extensions/syntax-extensions.rst @@ -327,22 +327,29 @@ symbols. Reserving notations ~~~~~~~~~~~~~~~~~~~ -A given notation may be used in different contexts. Coq expects all -uses of the notation to be defined at the same precedence and with the -same associativity. To avoid giving the precedence and associativity -every time, it is possible to declare a parsing rule in advance -without giving its interpretation. Here is an example from the initial -state of Coq. +.. cmd:: Reserved Notation @string {? (@modifiers) } -.. coqtop:: in + A given notation may be used in different contexts. Coq expects all + uses of the notation to be defined at the same precedence and with the + same associativity. To avoid giving the precedence and associativity + every time, this command declares a parsing rule (:token:`string`) in advance + without giving its interpretation. Here is an example from the initial + state of Coq. + + .. coqtop:: in + + Reserved Notation "x = y" (at level 70, no associativity). + + Reserving a notation is also useful for simultaneously defining an + inductive type or a recursive constant and a notation for it. - Reserved Notation "x = y" (at level 70, no associativity). + .. note:: The notations mentioned in the module :ref:`init-notations` are reserved. Hence + their precedence and associativity cannot be changed. -Reserving a notation is also useful for simultaneously defining an -inductive type or a recursive constant and a notation for it. + .. cmdv:: Reserved Infix "@symbol" {* @modifiers} -.. note:: The notations mentioned in the module :ref:`init-notations` are reserved. Hence - their precedence and associativity cannot be changed. + This command declares an infix parsing rule without giving its + interpretation. Simultaneous definition of terms and notations ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ @@ -1191,7 +1198,7 @@ The ``function_scope`` interpretation scope The scope ``function_scope`` also has a special status. It is temporarily activated each time the argument of a global reference is -recognized to be a ``Funclass`` istance, i.e., of type :g:`forall x:A, B` or +recognized to be a ``Funclass`` instance, i.e., of type :g:`forall x:A, B` or :g:`A -> B`. |