Both uses are correct (and very common situations). There was recently a rather grim movie called "The Proposition".
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Mr. TomThanks, Philip.Enoon, does it mean that you'd prefer "matter/issue" to "proposition" in the two sentences I posted? Then it would sound better to you?Please let me know.TomGetting her to agree is not always a simple matter.
enoonIt is safer to use "proposition" only when there is some sort of proposal involved, I think.But it's better not to end a sentence with one.