diff options
Diffstat (limited to 'doc/sphinx/proof-engine/ssreflect-proof-language.rst')
| -rw-r--r-- | doc/sphinx/proof-engine/ssreflect-proof-language.rst | 39 |
1 files changed, 23 insertions, 16 deletions
diff --git a/doc/sphinx/proof-engine/ssreflect-proof-language.rst b/doc/sphinx/proof-engine/ssreflect-proof-language.rst index 1c554acdb..6fb73a030 100644 --- a/doc/sphinx/proof-engine/ssreflect-proof-language.rst +++ b/doc/sphinx/proof-engine/ssreflect-proof-language.rst @@ -623,7 +623,9 @@ where: + In the occurrence switch :token:`occ_switch`, if the first element of the list is a natural, this element should be a number, and not an Ltac variable. The empty list ``{}`` is not interpreted as a valid occurrence - switch. + switch, it is rather used as a flag to signal the intent of the user to + clear the name following it (see :ref:`ssr_rewrite_occ_switch` and + :ref:`introduction_ssr`) The tactic: @@ -1484,7 +1486,7 @@ 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`). @@ -1539,7 +1541,7 @@ whose general syntax is :name: => .. prodn:: - i_item ::= @i_pattern %| @s_item %| @clear_switch %| /@term + i_item ::= @i_pattern %| @s_item %| @clear_switch %| {? %{%} } /@term .. prodn:: s_item ::= /= %| // %| //= @@ -1641,6 +1643,11 @@ The view is applied to the top assumption. While it is good style to use the :token:`i_item` i * to pop the variables and assumptions corresponding to each constructor, this is not enforced by |SSR|. +``/`` :token:`term` + Interprets the top of the stack with the view :token:`term`. + It is equivalent to ``move/term``. The optional flag ``{}`` can + be used to signal that the :token:`term`, when it is a context entry, + has to be cleared. ``-`` does nothing, but counts as an intro pattern. It can also be used to force the interpretation of ``[`` :token:`i_item` * ``| … |`` @@ -2402,7 +2409,7 @@ 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 @@ -3236,6 +3243,7 @@ the equality. Indeed the left hand side of ``H`` does not match the redex identified by the pattern ``x + y * 4``. +.. _ssr_rewrite_occ_switch: Occurrence switches and redex switches `````````````````````````````````````` @@ -3260,6 +3268,9 @@ the rewrite tactic. The effect of the tactic on the initial goal is to rewrite this lemma at the second occurrence of the first matching ``x + y + 0`` of the explicit rewrite redex ``_ + y + 0``. +An empty occurrence switch ``{}`` is not interpreted as a valid occurrence +switch. It has the effect of clearing the :token:`r_item` (when it is the name +of a context entry). Occurrence selection and repetition ``````````````````````````````````` @@ -5242,7 +5253,7 @@ Notation scope Module name -.. prodn:: name ::= @qualid +.. prodn:: modname ::= @qualid Natural number @@ -5252,14 +5263,10 @@ 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`. @@ -5283,7 +5290,7 @@ generalization item see :ref:`structure_ssr` intro pattern :ref:`introduction_ssr` -.. prodn:: i_item ::= @clear_switch %| @s_item %| @i_pattern %| / @term +.. prodn:: i_item ::= @clear_switch %| @s_item %| @i_pattern %| {? %{%} } / @term intro item see :ref:`introduction_ssr` @@ -5354,8 +5361,8 @@ 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 } @@ -5369,9 +5376,9 @@ 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 } @@ -5382,7 +5389,7 @@ backchaining see :ref:`structure_ssr` local definition :ref:`definitions_ssr` -.. tacv:: pose @ident {+ @binder } := @term +.. tacv:: pose @ident {+ @ssr_binder } := @term local function definition |