⚓ Comparisons » Math

⚓ Comparisons » Ordering

<	<=	/=	=	>=	>
string<	string<=	string/=	string=	string>=	string>
string-lessp	string-not-greaterp	string-not-equal	string-equal	string-not-lessp	string-greaterp
char<	char<=	char/=	char=	char>=	char>
char-lessp	char-not-greaterp	char-not-equal	char-equal	char-not-lessp	char-greaterp

⚓ Comparisons » Searching

member / member-if / member-if-not
assoc / assoc-if / assoc-if-not
rassoc / rassoc-if / rassoc-if-not
count / count-if / count-if-not
find / find-if / find-if-not
position / position-if / position-if-not
every / some / notevery / notany
search
mismatch
(setf getf) / get-properties
ldiff / tailp

⚓ Comparisons » Replacing

replace
subst / subst-if / subst-if-not
nsubst / nsubst-if / nsubst-if-not
sublis / nsublis
substitute / substitute-if / substitute-if-not
nsubstitute / nsubstitute-if / nsubstitute-if-not
(setf getf)

⚓ Comparisons » Removing

⚓ Comparisons » Identity

eq
eql
case / ccase / ecase (they use eql, and thus can't compare strings meaningfully)

From the CLHS:

Most Common Lisp operators use eql rather than eq to compare objects, or else they default to eql and only use eq if specifically requested to do so. However, the following operators are defined to use eq rather than eql in a way that cannot be overridden by the code which employs them:

catch, get, get-properties, getf, remf, remprop, throw.

⚓ Comparisons » Structural equivalence

⚓ Comparisons » Type equivalence

(See source for some raw TODOs.)