I'm looking for a word describing the sharing of an object (for example a letter) by other objects (for example words) such as:
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In crossword lingo, a shared letter is "doubly checked". There are instances where the letter might be shared with more than two clues, as the circled letters in this puzzle, and they would be "triply checked", or "quadruply checked", etc.
You would be hard-pressed to find an answer that is "one key to every lock", but the word that you could be looking for is "overlapping" or "Intersecting" words.