A *complete* listing of operators in Nix, and their predence.

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Lower precedence means a stronger binding; ie. this list is sorted from strongest to weakest binding, and in the case of equal precedence between two operators, the associativity decides the binding.

Prec	Abbreviation	Example	Assoc	Description
1	SELECT	e . attrpath [or def]	none	Select attribute denoted by the attribute path attrpath from set e. (An attribute path is a dot-separated list of attribute names.) If the attribute doesn’t exist, return default if provided, otherwise abort evaluation.
2	APP	e1 e2	left	Call function e1 with argument e2.
3	NEG	-e	none	Numeric negation.
4	HAS_ATTR	e ? attrpath	none	Test whether set e contains the attribute denoted by attrpath; return true or false.
5	CONCAT	e1 ++ e2	right	List concatenation.
6	MUL	e1 * e2	left	Numeric multiplication.
6	DIV	e1 / e2	left	Numeric division.
7	ADD	e1 + e2	left	Numeric addition, or string concatenation.
7	SUB	e1 - e2	left	Numeric subtraction.
8	NOT	!e	left	Boolean negation.
9	UPDATE	e1 // e2	right	Return a set consisting of the attributes in e1 and e2 (with the latter taking precedence over the former in case of equally named attributes).
10	LT	e1 < e2	left	Less than.
10	LTE	e1 <= e2	left	Less than or equal.
10	GT	e1 > e2	left	Greater than.
10	GTE	e1 >= e2	left	Greater than or equal.
11	EQ	e1 == e2	none	Equality.
11	NEQ	e1 != e2	none	Inequality.
12	AND	e1 && e2	left	Logical AND.
13	OR	e1 || e2	left	Logical OR.
14	IMPL	e1 -> e2	none	Logical implication (equivalent to !e1 || e2).

@sivizius That one is listed as part of the SELECT syntax; or is not in and of itself an operator, it only exists in the context of attribute selection, afaik.