Distrust is a formal way of not trusting any one party too much in a situation of grave risk or deep doubt. It is commonly expressed in civics as a division or balance of powers, or in politics as means of validating treaty terms. Systems based on distrust simply divide the responsibility so that checks and balances can operate. The phrase "trust but verify" refers specifically to distrust.
Distrust should not be confused with mistrust, which is believing that a particular party has a hidden agenda. When such is the case, however, distrust plays a role in minimizing the power of specific individuals with roles in "the system." For instance providing the benefit of the doubt to someone accused of a crime.
An electoral system or adversarial process inevitably is based on distrust, but not on mistrust. Parties compete in the system, but they do not compete to subvert the system itself, or gain bad faith advantage through it - if they do they are easily caught by the others. Of course mu ...more

Distrust is a formal way of not trusting any one party too much (mainly political)

Mistrust - Lack of trust or confidence arising from suspicion.

*Deceived after making a trust - Mistrust
*Distrust - Not to believe from the begining at all.