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Ledge-Trumping is the technique used to force the opponent off the ledge right as they reach it after their recovery. Ledge-Trumping was introduced in Super Smash Bros. for Nintendo 3DS and Wii U and replaced Edge-hogging. Ledge-Trumping forces the player that just grabbed the ledge to be thrown off, making them vulnerable to aerial attacks.
To do a Ledge-Trump, you have to catch the ledge just as the opponent does so. To do this you can turn around jump off and grab the ledge, similar to a Reverse Aerial Rush (RAR).