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FilledSmallSquareThrough[p[, ][x]] gives p[[x], [x]].

FilledSmallSquareThrough[expr, h] performs the transformation wherever h occurs in the head of expr.

FilledSmallSquare Example: Through[(f + g)[x, y]] LongRightArrow.

FilledSmallSquareThrough distributes operators that appear inside the heads of expressions.

FilledSmallSquare See The Mathematica Book: Section 2.2.9.

FilledSmallSquare See also: Operate.