proposition vs trace

proposition and trace both are nouns.

Word	Noun	Adjective	Verb	Adverb
proposition	Yes	No	Yes	No
trace	Yes	No	Yes	No

As nouns, trace is a hyponym of proposition; that is, trace is a word with a more specific, narrower meaning than proposition:

Other hyponyms of proposition include breath, hint, intimation, ghost, touch, advance, approach, feeler, overture.

proposition (noun)	trace (noun)
a task to be dealt with	a drawing created by superimposing a semitransparent sheet of paper on the original image and copying on it the lines of the original image
(logic) a statement that affirms or denies something and is either true or false	either of two lines that connect a horse's harness to a wagon or other vehicle or to a whiffletree
a proposal offered for acceptance or rejection	an indication that something has been present
the act of making a proposal	a suggestion of some quality
an offer for a private bargain (especially a request for sexual favors)	a visible mark (as a footprint) left by the passage of person or animal or vehicle
	a just detectable amount

proposition (verb)	trace (verb)
suggest sex to	follow, discover, or ascertain the course of development of something
	read with difficulty
	make a mark or lines on a surface
	copy by following the lines of the original drawing on a transparent sheet placed upon it; make a tracing of
	pursue or chase relentlessly
	to go back over again
	make one's course or travel along a path; travel or pass over, around, or along
	discover traces of