In property law, the term “indefinite failure of issue” refers to the the dying out of a person’s line of decedents, which may or may not occur at an unknown time in the future.  An indefinite failure of issue is the period when the issue of decedents of the first taker shall become extinct, and when there is no longer any issue of the issue of the grantee, without reference to any particular time or any particular event.

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