bequeath, leave behind, reserve
遺 centers on leaving something behind, whether intentionally passing it on (bequeathing), accidentally forgetting it, or setting it aside for later (reserving).
遺 combines 辶 (movement) with 貴, which likely contributes the sound and the idea of something valuable. The compound suggests something valuable being moved away or left behind.
The movement enclosure 辶 wraps around 貴 (precious). Picture a precious heirloom being carried away and left behind for the next generation.
For イ, imagine leaving behind an easel (イーゼル) with a precious painting: easel -> イ, and the painting is bequeathed to the future.
inheritance; bequest; legacy; heritage
gene
(dead) body; corpse; remains
(archeological) remains; ruins; relics
heredity; (genetic) inheritance
bereaved family; surviving family; family of the deceased
will; testament; one's dying wish; one's last words
relic; remains; memento
prognostic symptoms; after-effect; sequela
cremated remains (esp. the bones); ashes
things left (to one) by the deceased; inherited item; estate; memento; keepsake
note left by a dead person; suicide note; testamentary letter; will; testament
regrettable; unsatisfactory; deplorable; lamentable
abandonment; desertion
(archaeological) remains; remnants (of ancient structures); ancient foundation
portrait of a deceased person
wishes of a deceased person; dying wish
grudge; ill will; enmity
posthumous works
orphan; child left by the deceased
World Heritage (site)
cultural heritage
lost article; lost property