Difference between Inconsistency and Mutual Exclusiveness

INCONSISTENCY vs MUTUAL EXCLUSIVENESS: NOUN

An incompatibility between two propositions that cannot both be true
The state of being inconsistent
Lack of stability or uniformity; unsteadiness; changeableness; variableness.
Absurdity in argument ore narration; incoherence or irreconcilability in the parts of a statement, argument, or narration; that which is inconsistent.
The quality or state of being inconsistent; discordance in respect to sentiment or action; such contrariety between two things that both can not exist or be true together; disagreement; incompatibility.
Synonyms Incoherency, irreconcilability, discrepancy, contradictoriness. See incompatible.
A want of consistency in feeling, idea, or act; lack of agreement or uniformity in manifestation; incongruity.
The quality of being inconsistent; want of consistency or agreement between ideas or actions; contradictory relation of parts or particulars; intrinsic opposition in fact or in principle; incongruity; contrariety; discrepancy.
Something inconsistent.
The state or quality of being inconsistent.
The relation between propositions that cannot both be true at the same time
The quality of being inconsistent and lacking a harmonious uniformity among things or parts

Anomaly, Incongruity, Irregularity, Contradiction, Contradictory, Disunity, Inadequacy, Discrepancy, Disparity, Mismatch, Incoherence, Consistency, Inconsistent, Mutual exclusiveness, Incompatibility

Paradox, Dissonance, Divergence, Conflicting, Disagreement, Deficiency, Anomaly, Contradiction, Contradictory, Inadequacy, Discrepancy, Disparity, Mismatch, Consistency, Inconsistent

These guidance documents should reduce inconsistency in performance.
Assertion Failed: Problem Description: Denotes an internal inconsistency.
There is inconsistency in regards to the definitions.
Thus, a contradiction is necessarily an inconsistency, but an inconsistency is not necessarily a contradiction.
There is some inconsistency in the shoulders closer to Pulp Mill Road and there is some inconsistency in the surface of the road.
Relation to Other Chapters In the event of any inconsistency between thisshall prevail to the extent of the inconsistency.
When a court makes a finding of inconsistency with the Charter, it must first define the extent of the inconsistency.
In the event of any inconsistency between this Agreement and the FTA, the latter shall prevail to the extent of the inconsistency.
While objectively there is inconsistency, a decision is presented in a manner that veils this inconsistency.
If jmk detects an inconsistency, it executes commands that correct the inconsistency.

Under the theory of mutual exclusiveness, the Tenth Amendment would become the basis for the original, sovereign powers of the states.