Basic Trope: A character who habitually lies is not believed when he tells the truth.
Straight: Deceitful Danny raises false alarms about thieves in his home. When thieves finally do break in, no one will come help.
Exaggerated: Deceitful Danny lied once about the flavor of a pie (it was cherry, he said apple) and now no one in town believes a word he says.
Danny is in frail health and suffering from the advanced stages of dementia. His alarms warrant one or two investigations but are ignored afterwards.
Frankly, it would be difficult to trust a person who is known to have lied constantly in the past, so it would make sense that one would refuse to believe Deceitful Danny even when he tells the truth.
Inverted: Truthful Tom tells an obvious lie and gets away with it because he has never been known to say anything untrue.
Subverted: Danny calls and worries no one will come, but then some of his neighbors decide to help.
Double Subverted: ...help the robbers, that is.
Parodied: Danny lies and tells the truth just often enough that people tend to come running when he's lying and leave him to his fate when he's telling the truth. Danny gives up, goes into the mountains, and becomes a Mad Oracle.