Standard Library | The Coq Proof Assistant

The Coq Proof Assistant

# Library Ltac2.Init

#[export] Set Default Proof Mode "Ltac2".
Primitive types
Ltac2 Type int.
Ltac2 Type string.
Ltac2 Type char.
Ltac2 Type ident.
Ltac2 Type uint63.
Ltac2 Type float.
Ltac2 Type pstring.
Constr-specific built-in types
Ltac2 Type meta.
Ltac2 Type evar.
Ltac2 Type sort.
Ltac2 Type cast.
Ltac2 Type instance.
Ltac2 Type constant.
Ltac2 Type inductive.
Ltac2 Type constructor.
Ltac2 Type projection.
Ltac2 Type pattern.
Ltac2 Type constr.
Ltac2 Type preterm.
Ltac2 Type binder.
Ltac2 Type message.
Ltac2 Type ('a, 'b, 'c, 'd) format.
Ltac2 Type exn := [ .. ].
Ltac2 Type 'a array.
Tuples
Ltac2 fst (p:'a * 'b) : 'a := let (x,_) := p in x.
Ltac2 snd (p:'a * 'b) : 'b := let (_,y) := p in y.
Pervasive types
Ltac2 Type 'a option := [ None | Some ('a) ].
Ltac2 Type 'a ref := { mutable contents : 'a }.
Ltac2 Type bool := [ true | false ].
Ltac2 Type 'a result := [ Val ('a) | Err (exn) ].
Pervasive exceptions
Ltac2 Type err.
Coq internal errors. Cannot be constructed, merely passed around.
Ltac2 Type exn ::= [ Internal (err) ].
Wrapper around the errors raised by Coq implementation.
Ltac2 Type exn ::= [ Out_of_bounds (message option) ].
Used for bound checking, e.g. with String and Array.
Ltac2 Type exn ::= [ Not_focussed ].
In Ltac2, the notion of "current environment" only makes sense when there is at most one goal under focus. Contrarily to Ltac1, instead of dynamically focussing when we need it, we raise this non-backtracking error when it does not make sense.
Ltac2 Type exn ::= [ Not_found ].
Used when something is missing.
Ltac2 Type exn ::= [ No_value ].
Used for empty lists, None options and the like.
Ltac2 Type exn ::= [ Match_failure ].
Used to signal a pattern didn't match a term.
Ltac2 Type exn ::= [ Invalid_argument (message option) ].
Used to signal that an invalid argument was passed to a tactic.
Ltac2 Type exn ::= [ Tactic_failure (message option) ].
Generic error for tactic failure.
Ltac2 Type exn ::= [ Assertion_failure ].
Used to indicate that an Ltac2 function ran into a situation that should never occcur.
Ltac2 Type exn ::= [ Division_by_zero ].
Int division by zero or modulus by zero
Ltac2 Type exninfo.
Information attached to an exception (e.g., backtrace).