package coq-core

  1. Overview
  2. Docs
The Coq Proof Assistant -- Core Binaries and Tools

Install 

dune-project
 Dependency

coq.inria.fr Readme Edit opam file Versions (13)

Authors

  1. T
    The Coq development team, INRIA, CNRS, and contributors

Maintainers

  1. T
    The Coq development team <coqdev@inria.fr>

Sources

coq-8.19.0.tar.gz
md5=64b49dbc3205477bd7517642c0b9cbb6
sha512=02fb5b4fb575af79e092492cbec6dc0d15a1d74a07f827f657a72d4e6066532630e5a6d15be4acdb73314bd40b9a321f9ea0584e0ccfe51fd3a56353bd30db9b

doc/coq-core.kernel/Names/Cpred/index.html

Module Names.CpredSource

The *_env modules consider an order on user part of names the others consider an order on canonical part of names

Sourcetype elt = Constant.t

The type of the elements in the set.

Sourcetype t

The type of sets.

Sourceval empty : t

The empty set.

Sourceval full : t

The set of all elements (of type elm).

Sourceval is_empty : t -> bool

Test whether a set is empty or not.

Sourceval is_full : t -> bool

Test whether a set contains the whole type or not.

Sourceval mem : elt -> t -> bool

mem x s tests whether x belongs to the set s.

Sourceval singleton : elt -> t

singleton x returns the one-element set containing only x.

Sourceval add : elt -> t -> t

add x s returns a set containing all elements of s, plus x. If x was already in s, then s is returned unchanged.

Sourceval remove : elt -> t -> t

remove x s returns a set containing all elements of s, except x. If x was not in s, then s is returned unchanged.

Sourceval union : t -> t -> t

Set union.

Sourceval inter : t -> t -> t

Set intersection.

Sourceval diff : t -> t -> t

Set difference.

Sourceval complement : t -> t

Set complement.

Sourceval equal : t -> t -> bool

equal s1 s2 tests whether the sets s1 and s2 are equal, that is, contain equal elements.

Sourceval subset : t -> t -> bool

subset s1 s2 tests whether the set s1 is a subset of the set s2.

Sourceval elements : t -> bool * elt list

Gives a finite representation of the predicate: if the boolean is false, then the predicate is given in extension. if it is true, then the complement is given

Sourceval is_finite : t -> bool

true if the predicate can be given as a finite set (if elt is a finite type, we can have is_finite x = false yet x is finite, but we don't know how to list its elements)