Why can’t indifference curves intersect?

Please provide the best answer for the statement.

By definition, an indifference curve shows all the combinations of two products that give the consumer the same level of satisfaction. Also, the higher the indifference curve on an indifference map, the greater the level of satisfaction. If indifference curves intersected, then it would be possible to be higher on one curve than another at one point and lower on the same curve than the other curve at another point. This contradictory result is not possible, and thus indifference curves can’t intersect.

Economics

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