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copied!<p>From <a href="http://www.cs.cmu.edu/Groups/AI/html/cltl/clm/node74.html" rel="noreferrer">Common Lisp: Equality Predicates</a></p> <blockquote> <p><code>(eq x y)</code> is true if and only if <code>x</code> and <code>y</code> are the same identical object.</p> <p>The <code>eql</code> predicate is true if its arguments are <code>eq</code>, or if they are numbers of the same type with the same value, or if they are character objects that represent the same character.</p> <p>The <code>equal</code> predicate is true if its arguments are structurally similar (isomorphic) objects. A rough rule of thumb is that two objects are equal if and only if their printed representations are the same. </p> <p>Two objects are <code>equalp</code> if they are equal; if they are characters and satisfy char-equal, which ignores alphabetic case and certain other attributes of characters; if they are numbers and have the same numerical value, even if they are of different types; or if they have components that are all <code>equalp</code>.</p> </blockquote> <p>Here are some examples from the same page I linked to above:</p> <pre><code>(eq 'a 'b) is false. (eq 'a 'a) is true. (eq 3 3) might be true or false, depending on the implementation. (eq 3 3.0) is false. (eq 3.0 3.0) might be true or false, depending on the implementation. (eq #c(3 -4) #c(3 -4)) might be true or false, depending on the implementation. (eq #c(3 -4.0) #c(3 -4)) is false. (eq (cons 'a 'b) (cons 'a 'c)) is false. (eq (cons 'a 'b) (cons 'a 'b)) is false. (eq '(a . b) '(a . b)) might be true or false. (progn (setq x (cons 'a 'b)) (eq x x)) is true. (progn (setq x '(a . b)) (eq x x)) is true. (eq #\A #\A) might be true or false, depending on the implementation. (eq "Foo" "Foo") might be true or false. (eq "Foo" (copy-seq "Foo")) is false. (eq "FOO" "foo") is false. (eql 'a 'b) is false. (eql 'a 'a) is true. (eql 3 3) is true. (eql 3 3.0) is false. (eql 3.0 3.0) is true. (eql #c(3 -4) #c(3 -4)) is true. (eql #c(3 -4.0) #c(3 -4)) is false. (eql (cons 'a 'b) (cons 'a 'c)) is false. (eql (cons 'a 'b) (cons 'a 'b)) is false. (eql '(a . b) '(a . b)) might be true or false. (progn (setq x (cons 'a 'b)) (eql x x)) is true. (progn (setq x '(a . b)) (eql x x)) is true. (eql #\A #\A) is true. (eql "Foo" "Foo") might be true or false. (eql "Foo" (copy-seq "Foo")) is false. (eql "FOO" "foo") is false. (equal 'a 'b) is false. (equal 'a 'a) is true. (equal 3 3) is true. (equal 3 3.0) is false. (equal 3.0 3.0) is true. (equal #c(3 -4) #c(3 -4)) is true. (equal #c(3 -4.0) #c(3 -4)) is false. (equal (cons 'a 'b) (cons 'a 'c)) is false. (equal (cons 'a 'b) (cons 'a 'b)) is true. (equal '(a . b) '(a . b)) is true. (progn (setq x (cons 'a 'b)) (equal x x)) is true. (progn (setq x '(a . b)) (equal x x)) is true. (equal #\A #\A) is true. (equal "Foo" "Foo") is true. (equal "Foo" (copy-seq "Foo")) is true. (equal "FOO" "foo") is false. (equalp 'a 'b) is false. (equalp 'a 'a) is true. (equalp 3 3) is true. (equalp 3 3.0) is true. (equalp 3.0 3.0) is true. (equalp #c(3 -4) #c(3 -4)) is true. (equalp #c(3 -4.0) #c(3 -4)) is true. (equalp (cons 'a 'b) (cons 'a 'c)) is false. (equalp (cons 'a 'b) (cons 'a 'b)) is true. (equalp '(a . b) '(a . b)) is true. (progn (setq x (cons 'a 'b)) (equalp x x)) is true. (progn (setq x '(a . b)) (equalp x x)) is true. (equalp #\A #\A) is true. (equalp "Foo" "Foo") is true. (equalp "Foo" (copy-seq "Foo")) is true. (equalp "FOO" "foo") is true. </code></pre>

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