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Adjective: irremissible  ,i-ri'mi-su-bul
  1. Morally or legally constraining or binding
    "attendance is irremissible";
    - obligatory
  2. Not admitting of pardon
    "irremissible behaviour";
    - unpardonable

See also: bounden [archaic], compulsory, de rigueur, deadly, imposed, incumbent on, indispensable, inexcusable, inexpiable, mandatory, mortal, necessary, prerequisite, required, unforgivable