Firmly established; deep-seated: ingrained prejudice; the ingrained habits of a lifetime.
Worked deeply into the texture or fiber: a carpet disfigured by ingrained dirt.
in·grain (ĭn-grāń)
[Variant of engrain.]
transitive verb: -grained, -grain·ing, -grains.
To fix deeply or indelibly, as in the mind: “A system that had been ingrained for generations could not be easily undone by change from the top” (Doris Kearns Goodwin)
Archaic To dye or stain into the fiber of.
adjective
Deep-seated; ingrained.
Made of predyed fibers; thoroughly dyed: ingrain yarn.
Made of fiber or yarn dyed before weaving. Used especially of rugs.
noun
Yarn or fiber dyed before manufacture.
An ingrain rug or carpet.
The American Heritage® Dictionary of the English Language, Fourth Edition