Is there a name for when a comment or statement has an inferred context, but there is no mention of that context in the comment or statement itself?
For instance, if someone said:
"Remember when people warned against a female president because she might be irrational, vindictive, and prone to mood swings?"
The inferred context is that this is against Trump, and it is implied that he is irrational, vindictive, and prone to mood swings. However none of these connections are made in the question itself.
Many people will used this type of statement in arguments and/or debates, and then fall back on "Well I didn't actually say that, you just heard it that way." when what they actually meant was perfectly clear.
Is there a name for this type of inferred connection or context?
P.S. any political statements used in this question are for reference purposes only, and do not express my views, and do no warrant discussion.