diff options
Diffstat (limited to 'doc/sphinx/addendum/generalized-rewriting.rst')
| -rw-r--r-- | doc/sphinx/addendum/generalized-rewriting.rst | 23 |
1 files changed, 12 insertions, 11 deletions
diff --git a/doc/sphinx/addendum/generalized-rewriting.rst b/doc/sphinx/addendum/generalized-rewriting.rst index 4d9e8d8b3a..847abb33fc 100644 --- a/doc/sphinx/addendum/generalized-rewriting.rst +++ b/doc/sphinx/addendum/generalized-rewriting.rst @@ -170,12 +170,12 @@ compatibility constraints. Adding new relations and morphisms ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -.. cmd:: Add Parametric Relation (x1 : T1) ... (xn : Tk) : (A t1 ... tn) (Aeq t′1 ... t′m) {? reflexivity proved by refl} {? symmetry proved by sym} {? transitivity proved by trans} as @ident +.. cmd:: Add Parametric Relation @binders : (A t1 ... tn) (Aeq t′1 ... t′m) {? reflexivity proved by @term} {? symmetry proved by @term} {? transitivity proved by @term} as @ident This command declares a parametric relation :g:`Aeq: forall (y1 : β1 ... ym : βm)`, :g:`relation (A t1 ... tn)` over :g:`(A : αi -> ... αn -> Type)`. - The :token:`ident` gives a unique name to the morphism and it is used + The final :token:`ident` gives a unique name to the morphism and it is used by the command to generate fresh names for automatically provided lemmas used internally. @@ -219,15 +219,16 @@ replace terms with related ones only in contexts that are syntactic compositions of parametric morphism instances declared with the following command. -.. cmd:: Add Parametric Morphism (x1 : T1) ... (xk : Tk) : (f t1 ... tn) with signature sig as @ident +.. cmd:: Add Parametric Morphism @binders : (@ident {+ @term__1}) with signature @term__2 as @ident - This command declares ``f`` as a parametric morphism of signature ``sig``. The - identifier :token:`ident` gives a unique name to the morphism and it is used as - the base name of the typeclass instance definition and as the name of - the lemma that proves the well-definedness of the morphism. The - parameters of the morphism as well as the signature may refer to the - context of variables. The command asks the user to prove interactively - that ``f`` respects the relations identified from the signature. + This command declares a parametric morphism :n:`@ident {+ @term__1}` of + signature :n:`@term__2`. The final identifier :token:`ident` gives a unique + name to the morphism and it is used as the base name of the typeclass + instance definition and as the name of the lemma that proves the + well-definedness of the morphism. The parameters of the morphism as well as + the signature may refer to the context of variables. The command asks the + user to prove interactively that the function denoted by the first + :token:`ident` respects the relations identified from the signature. .. example:: @@ -577,7 +578,7 @@ Deprecated syntax and backward incompatibilities Notice that the syntax is not completely backward compatible since the identifier was not required. -.. cmd:: Add Morphism f : @ident +.. cmd:: Add Morphism @ident : @ident :name: Add Morphism This command is restricted to the declaration of morphisms |