diff options
Diffstat (limited to 'doc/sphinx')
| -rw-r--r-- | doc/sphinx/README.rst | 15 | ||||
| -rw-r--r-- | doc/sphinx/addendum/generalized-rewriting.rst | 2 | ||||
| -rw-r--r-- | doc/sphinx/addendum/ring.rst | 23 | ||||
| -rw-r--r-- | doc/sphinx/proof-engine/ssreflect-proof-language.rst | 25 | ||||
| -rw-r--r-- | doc/sphinx/proof-engine/tactics.rst | 13 |
5 files changed, 49 insertions, 29 deletions
diff --git a/doc/sphinx/README.rst b/doc/sphinx/README.rst index 35a605ddd..32de15ee3 100644 --- a/doc/sphinx/README.rst +++ b/doc/sphinx/README.rst @@ -123,11 +123,24 @@ Here is the list of all objects of the Coq domain (The symbol :black_nib: indica :cmd:`Variant` and :cmd:`Record` get an automatic declaration of the induction principles. -``.. prodn::`` :black_nib: Grammar productions. +``.. prodn::`` A grammar production. This is useful if you intend to document individual grammar productions. Otherwise, use Sphinx's `production lists <http://www.sphinx-doc.org/en/stable/markup/para.html#directive-productionlist>`_. + Unlike ``.. productionlist``\ s, this directive accepts notation syntax. + + + Usage:: + + .. prodn:: token += production + .. prodn:: token ::= production + + Example:: + + .. prodn:: term += let: @pattern := @term in @term + .. prodn:: occ_switch ::= { {? + %| - } {* @num } } + ``.. tacn::`` :black_nib: A tactic, or a tactic notation. Example:: diff --git a/doc/sphinx/addendum/generalized-rewriting.rst b/doc/sphinx/addendum/generalized-rewriting.rst index e10e16c10..e4d24a1f7 100644 --- a/doc/sphinx/addendum/generalized-rewriting.rst +++ b/doc/sphinx/addendum/generalized-rewriting.rst @@ -106,7 +106,7 @@ argument. Morphisms can also be contravariant in one or more of their arguments. A morphism is contravariant on an argument associated to the relation -instance :math`R` if it is covariant on the same argument when the inverse +instance :math:`R` if it is covariant on the same argument when the inverse relation :math:`R^{−1}` (``inverse R`` in Coq) is considered. The special arrow ``-->`` is used in signatures for contravariant morphisms. diff --git a/doc/sphinx/addendum/ring.rst b/doc/sphinx/addendum/ring.rst index 47d3a7d7c..6a9b343ba 100644 --- a/doc/sphinx/addendum/ring.rst +++ b/doc/sphinx/addendum/ring.rst @@ -310,16 +310,15 @@ The :n:`@ident` is not relevant. It is just used for error messages. The axioms. The optional list of modifiers is used to tailor the behavior of the tactic. The following list describes their syntax and effects: -.. prodn:: - ring_mod ::= abstract %| decidable @term %| morphism @term - %| setoid @term @term - %| constants [@ltac] - %| preprocess [@ltac] - %| postprocess [@ltac] - %| power_tac @term [@ltac] - %| sign @term - %| div @term - +.. productionlist:: coq + ring_mod : abstract | decidable `term` | morphism `term` + : | setoid `term` `term` + : | constants [`ltac`] + : | preprocess [`ltac`] + : | postprocess [`ltac`] + : | power_tac `term` [`ltac`] + : | sign `term` + : | div `term` abstract declares the ring as abstract. This is the default. @@ -663,8 +662,8 @@ messages. :n:`@term` is a proof that the field signature satisfies the (semi-)field axioms. The optional list of modifiers is used to tailor the behavior of the tactic. -.. prodn:: - field_mod := @ring_mod %| completeness @term +.. productionlist:: coq + field_mod : `ring_mod` | completeness `term` Since field tactics are built upon ``ring`` tactics, all modifiers of the ``Add Ring`` apply. There is only one diff --git a/doc/sphinx/proof-engine/ssreflect-proof-language.rst b/doc/sphinx/proof-engine/ssreflect-proof-language.rst index 3b2009657..ab52c2ce7 100644 --- a/doc/sphinx/proof-engine/ssreflect-proof-language.rst +++ b/doc/sphinx/proof-engine/ssreflect-proof-language.rst @@ -1484,7 +1484,7 @@ The abstract tactic ``````````````````` .. tacn:: abstract: {+ d_item} - :name abstract (ssreflect) + :name: abstract (ssreflect) This tactic assigns an abstract constant previously introduced with the ``[: name ]`` intro pattern (see section :ref:`introduction_ssr`). @@ -2402,7 +2402,7 @@ tactic: The behavior of the defective have tactic makes it possible to generalize it in the following general construction: -.. tacn:: have {* @i_item } {? @i_pattern } {? @s_item | {+ @binder } } {? : @term } {? := @term | by @tactic } +.. tacn:: have {* @i_item } {? @i_pattern } {? @s_item | {+ @ssr_binder } } {? : @term } {? := @term | by @tactic } Open syntax is supported for both :token:`term`. For the description of :token:`i_item` and :token:`s_item` see section @@ -3657,7 +3657,8 @@ selective rewriting, blocking on the fly the reduction in the term ``t``. .. coqtop:: reset - From Coq Require Import ssreflect ssrfun ssrbool List. + From Coq Require Import ssreflect ssrfun ssrbool. + From Coq Require Import List. Set Implicit Arguments. Unset Strict Implicit. Unset Printing Implicit Defensive. @@ -5241,7 +5242,7 @@ Notation scope Module name -.. prodn:: name ::= @qualid +.. prodn:: modname ::= @qualid Natural number @@ -5251,14 +5252,10 @@ where :token:`ident` is an Ltac variable denoting a standard |Coq| numeral (should not be the name of a tactic which can be followed by a bracket ``[``, like ``do``, ``have``,…) -Pattern - -.. prodn:: pattern ::= @term - Items and switches ~~~~~~~~~~~~~~~~~~ -.. prodn:: binder ::= @ident %| ( @ident {? : @term } ) +.. prodn:: ssr_binder ::= @ident %| ( @ident {? : @term } ) binder see :ref:`abbreviations_ssr`. @@ -5353,8 +5350,8 @@ case analysis see :ref:`the_defective_tactics_ssr` rewrite see :ref:`rewriting_ssr` -.. tacn:: have {* @i_item } {? @i_pattern } {? @s_item %| {+ @binder } } {? : @term } := @term -.. tacv:: have {* @i_item } {? @i_pattern } {? @s_item %| {+ @binder } } : @term {? by @tactic } +.. tacn:: have {* @i_item } {? @i_pattern } {? @s_item %| {+ @ssr_binder } } {? : @term } := @term +.. tacv:: have {* @i_item } {? @i_pattern } {? @s_item %| {+ @ssr_binder } } : @term {? by @tactic } .. tacn:: have suff {? @clear_switch } {? @i_pattern } {? : @term } := @term .. tacv:: have suff {? @clear_switch } {? @i_pattern } : @term {? by @tactic } .. tacv:: gen have {? @ident , } {? @i_pattern } : {+ @gen_item } / @term {? by @tactic } @@ -5368,9 +5365,9 @@ forward chaining see :ref:`structure_ssr` specializing see :ref:`structure_ssr` -.. tacn:: suff {* @i_item } {? @i_pattern } {+ @binder } : @term {? by @tactic } +.. tacn:: suff {* @i_item } {? @i_pattern } {+ @ssr_binder } : @term {? by @tactic } :name: suff -.. tacv:: suffices {* @i_item } {? @i_pattern } {+ @binder } : @term {? by @tactic } +.. tacv:: suffices {* @i_item } {? @i_pattern } {+ @ssr_binder } : @term {? by @tactic } :name: suffices .. tacv:: suff {? have } {? @clear_switch } {? @i_pattern } : @term {? by @tactic } .. tacv:: suffices {? have } {? @clear_switch } {? @i_pattern } : @term {? by @tactic } @@ -5381,7 +5378,7 @@ backchaining see :ref:`structure_ssr` local definition :ref:`definitions_ssr` -.. tacv:: pose @ident {+ @binder } := @term +.. tacv:: pose @ident {+ @ssr_binder } := @term local function definition diff --git a/doc/sphinx/proof-engine/tactics.rst b/doc/sphinx/proof-engine/tactics.rst index 29c2f8b81..d0a0d568e 100644 --- a/doc/sphinx/proof-engine/tactics.rst +++ b/doc/sphinx/proof-engine/tactics.rst @@ -3949,9 +3949,20 @@ succeeds, and results in an error otherwise. :name: constr_eq This tactic checks whether its arguments are equal modulo alpha - conversion and casts. + conversion, casts and universe constraints. It may unify universes. .. exn:: Not equal. +.. exn:: Not equal (due to universes). + +.. tacn:: constr_eq_strict @term @term + :name: constr_eq_strict + + This tactic checks whether its arguments are equal modulo alpha + conversion, casts and universe constraints. It does not add new + constraints. + +.. exn:: Not equal. +.. exn:: Not equal (due to universes). .. tacn:: unify @term @term :name: unify |