REMOVE

remove all occurrences
Major Section:  ACL2-BUILT-INS

General Forms:
(remove x lst)
(remove x lst :test 'eql)   ; same as above (eql as equality test)
(remove x lst :test 'eq)    ; same, but eq is equality test
(remove x lst :test 'equal) ; same, but equal is equality test

(Remove x lst) is equal to lst if x is not a member of lst, else is the result of removing all occurrences of x from lst. The optional keyword, :TEST, has no effect logically, but provides the test (default eql) used for comparing x with successive elements of lst.

Also see remove1.

The guard for a call of remove depends on the test. In all cases, the second argument must satisfy true-listp. If the test is eql, then either the first argument must be suitable for eql (see eqlablep) or the second argument must satisfy eqlable-listp. If the test is eq, then either the first argument must be a symbol or the second argument must satisfy symbol-listp.

See equality-variants for a discussion of the relation between remove and its variants:

(remove-eq x lst) is equivalent to (remove x lst :test 'eq);

(remove-equal x lst) is equivalent to (remove x lst :test 'equal).

In particular, reasoning about any of these primitives reduces to reasoning about the function remove-equal.

Remove is defined by Common Lisp. See any Common Lisp documentation for more information.