diff options
Diffstat (limited to 'doc/sphinx/proof-engine')
| -rw-r--r-- | doc/sphinx/proof-engine/tactics.rst | 57 | ||||
| -rw-r--r-- | doc/sphinx/proof-engine/vernacular-commands.rst | 16 |
2 files changed, 35 insertions, 38 deletions
diff --git a/doc/sphinx/proof-engine/tactics.rst b/doc/sphinx/proof-engine/tactics.rst index 6a0ce20c79..2bfd810ea1 100644 --- a/doc/sphinx/proof-engine/tactics.rst +++ b/doc/sphinx/proof-engine/tactics.rst @@ -1452,6 +1452,19 @@ Controlling the proof flow While :tacn:`pose proof` expects that no existential variables are generated by the tactic, :tacn:`epose proof` removes this constraint. +.. tacv:: pose proof (@ident := @term) + + This is an alternative syntax for :n:`assert (@ident := @term)` and + :n:`pose proof @term as @ident`, following the model of :n:`pose + (@ident := @term)` but dropping the value of :token:`ident`. + +.. tacv:: epose proof (@ident := @term) + + This is an alternative syntax for :n:`eassert (@ident := @term)` + and :n:`epose proof @term as @ident`, following the model of + :n:`epose (@ident := @term)` but dropping the value of + :token:`ident`. + .. tacv:: enough (@ident : @type) :name: enough @@ -3761,18 +3774,18 @@ automatically created. Local is useless since hints do not survive anyway to the closure of sections. - .. cmdv:: Hint Resolve @term {? | {? @num} {? @pattern}} : @ident + .. cmdv:: Hint Resolve @qualid {? | {? @num} {? @pattern}} : @ident :name: Hint Resolve - This command adds :n:`simple apply @term` to the hint list with the head - symbol of the type of :n:`@term`. The cost of that hint is the number of - subgoals generated by :n:`simple apply @term` or :n:`@num` if specified. The + This command adds :n:`simple apply @qualid` to the hint list with the head + symbol of the type of :n:`@qualid`. The cost of that hint is the number of + subgoals generated by :n:`simple apply @qualid` or :n:`@num` if specified. The associated :n:`@pattern` is inferred from the conclusion of the type of - :n:`@term` or the given :n:`@pattern` if specified. In case the inferred type - of :n:`@term` does not start with a product the tactic added in the hint list - is :n:`exact @term`. In case this type can however be reduced to a type - starting with a product, the tactic :n:`simple apply @term` is also stored in - the hints list. If the inferred type of :n:`@term` contains a dependent + :n:`@qualid` or the given :n:`@pattern` if specified. In case the inferred type + of :n:`@qualid` does not start with a product the tactic added in the hint list + is :n:`exact @qualid`. In case this type can however be reduced to a type + starting with a product, the tactic :n:`simple apply @qualid` is also stored in + the hints list. If the inferred type of :n:`@qualid` contains a dependent quantification on a variable which occurs only in the premisses of the type and not in its conclusion, no instance could be inferred for the variable by unification with the goal. In this case, the hint is added to the hint list @@ -3780,32 +3793,32 @@ automatically created. typical example of a hint that is used only by :tacn:`eauto` is a transitivity lemma. - .. exn:: @term cannot be used as a hint + .. exn:: @qualid cannot be used as a hint - The head symbol of the type of :n:`@term` is a bound variable + The head symbol of the type of :n:`@qualid` is a bound variable such that this tactic cannot be associated to a constant. - .. cmdv:: Hint Resolve {+ @term} : @ident + .. cmdv:: Hint Resolve {+ @qualid} : @ident - Adds each :n:`Hint Resolve @term`. + Adds each :n:`Hint Resolve @qualid`. - .. cmdv:: Hint Resolve -> @term : @ident + .. cmdv:: Hint Resolve -> @qualid : @ident Adds the left-to-right implication of an equivalence as a hint (informally - the hint will be used as :n:`apply <- @term`, although as mentioned + the hint will be used as :n:`apply <- @qualid`, although as mentioned before, the tactic actually used is a restricted version of :tacn:`apply`). - .. cmdv:: Hint Resolve <- @term + .. cmdv:: Hint Resolve <- @qualid Adds the right-to-left implication of an equivalence as a hint. - .. cmdv:: Hint Immediate @term : @ident + .. cmdv:: Hint Immediate @qualid : @ident :name: Hint Immediate - This command adds :n:`simple apply @term; trivial` to the hint list associated + This command adds :n:`simple apply @qualid; trivial` to the hint list associated with the head symbol of the type of :n:`@ident` in the given database. This - tactic will fail if all the subgoals generated by :n:`simple apply @term` are + tactic will fail if all the subgoals generated by :n:`simple apply @qualid` are not solved immediately by the :tacn:`trivial` tactic (which only tries tactics with cost 0).This command is useful for theorems such as the symmetry of equality or :g:`n+1=m+1 -> n=m` that we may like to introduce with a limited @@ -3813,12 +3826,12 @@ automatically created. never generates subgoals) is always 1, so that it is not used by :tacn:`trivial` itself. - .. exn:: @term cannot be used as a hint + .. exn:: @qualid cannot be used as a hint :undocumented: - .. cmdv:: Hint Immediate {+ @term} : @ident + .. cmdv:: Hint Immediate {+ @qualid} : @ident - Adds each :n:`Hint Immediate @term`. + Adds each :n:`Hint Immediate @qualid`. .. cmdv:: Hint Constructors @qualid : @ident :name: Hint Constructors diff --git a/doc/sphinx/proof-engine/vernacular-commands.rst b/doc/sphinx/proof-engine/vernacular-commands.rst index a38c26c2b3..d1f3dcc309 100644 --- a/doc/sphinx/proof-engine/vernacular-commands.rst +++ b/doc/sphinx/proof-engine/vernacular-commands.rst @@ -745,11 +745,6 @@ the toplevel, and using them in source files is discouraged. :n:`-Q @string @dirpath`. It adds the physical directory string to the current |Coq| loadpath and maps it to the logical directory dirpath. - .. cmdv:: Add LoadPath @string - - Performs as :n:`Add LoadPath @string @dirpath` but - for the empty directory path. - .. cmd:: Add Rec LoadPath @string as @dirpath @@ -757,11 +752,6 @@ the toplevel, and using them in source files is discouraged. :n:`-R @string @dirpath`. It adds the physical directory string and all its subdirectories to the current |Coq| loadpath. - .. cmdv:: Add Rec LoadPath @string - - Works as :n:`Add Rec LoadPath @string as @dirpath` but for the empty - logical directory path. - .. cmd:: Remove LoadPath @string @@ -784,12 +774,6 @@ the toplevel, and using them in source files is discouraged. loadpath (see the command `Declare ML Module`` in Section :ref:`compiled-files`). -.. cmd:: Add Rec ML Path @string - - This command adds the directory :n:`@string` and all its subdirectories to - the current OCaml loadpath (see the command :cmd:`Declare ML Module`). - - .. cmd:: Print ML Path @string This command displays the current OCaml loadpath. This |