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| author | Théo Zimmermann | 2020-03-26 14:50:56 +0100 |
|---|---|---|
| committer | Théo Zimmermann | 2020-03-26 17:46:22 +0100 |
| commit | 89aefbacd26b5febe36274f722e67d25f6d42aeb (patch) | |
| tree | ea8361ea86c3867c588f791ac8c63cfbb9f74d36 /doc/sphinx/language | |
| parent | 738445a8db2b853204ea6f04b6b07751aeb40833 (diff) | |
Shrink refman-prelude files.
Diffstat (limited to 'doc/sphinx/language')
| -rw-r--r-- | doc/sphinx/language/gallina-extensions.rst | 28 |
1 files changed, 13 insertions, 15 deletions
diff --git a/doc/sphinx/language/gallina-extensions.rst b/doc/sphinx/language/gallina-extensions.rst index 8fcbeea570..18b05e47d3 100644 --- a/doc/sphinx/language/gallina-extensions.rst +++ b/doc/sphinx/language/gallina-extensions.rst @@ -361,16 +361,12 @@ can be alternatively written Definition not (b:bool) := if b then false else true. -More generally, for an inductive type with constructors |C_1| and |C_2|, -we have the following equivalence +More generally, for an inductive type with constructors :n:`@ident__1` +and :n:`@ident__2`, the following terms are equal: -:: +:n:`if @term__0 {? {? as @name } return @term } then @term__1 else @term__2` - if term [dep_ret_type] then term₁ else term₂ ≡ - match term [dep_ret_type] with - | C₁ _ … _ => term₁ - | C₂ _ … _ => term₂ - end +:n:`match @term__0 {? {? as @name } return @term } with | @ident__1 {* _ } => @term__1 | @ident__2 {* _ } => @term__2 end` .. example:: @@ -398,11 +394,13 @@ constructions. There are two variants of them. First destructuring let syntax ++++++++++++++++++++++++++++++ -The expression :g:`let (`\ |ident_1|:g:`, … ,` |ident_n|\ :g:`) :=` |term_0|\ :g:`in` |term_1| performs -case analysis on |term_0| which must be in an inductive type with one -constructor having itself :math:`n` arguments. Variables |ident_1| … |ident_n| are -bound to the :math:`n` arguments of the constructor in expression |term_1|. For -instance, the definition +The expression :n:`let ( {*, @ident__i } ) := @term__0 in @term__1` +performs case analysis on :n:`@term__0` whose type must be an +inductive type with exactly one constructor. The number of variables +:n:`@ident__i` must correspond to the number of arguments of this +contrustor. Then, in :n:`@term__1`, these variables are bound to the +arguments of the constructor in :n:`@term__0`. For instance, the +definition .. coqtop:: reset all @@ -417,7 +415,7 @@ can be alternatively written Definition fst (A B:Set) (p:A * B) := let (x, _) := p in x. Notice that reduction is different from regular :g:`let … in …` -construction since it happens only if |term_0| is in constructor form. +construction since it happens only if :n:`@term__0` is in constructor form. Otherwise, the reduction is blocked. The pretty-printing of a definition by matching on a irrefutable @@ -2286,7 +2284,7 @@ which they reside into another one. A *class* is either a sort (denoted by the keyword ``Sortclass``), a product type (denoted by the keyword ``Funclass``), or a type constructor (denoted by its name), e.g. an inductive type or any constant with a type of the form -``forall (`` |x_1| : |A_1| ) … ``(``\ |x_n| : |A_n|\ ``)``, `s` where `s` is a sort. +:n:`forall {+ @binder }, @sort`. Then the user is able to apply an object that is not a function, but can be coerced to a function, and more generally to consider that a |
