This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

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ad. In a consequential manner; with consequence or significance.

ad. With just deduction of consequence; with right connection of ideas; logically.

ad. By remote consequence; not immediately; eventually.

ad. In a regular series; in the order of cause and effect; with logical concatenation; consecutively; continuously.

ad. With assumed importance; pompously.

In a connected series; in the order of cause and effect, or of antecedent and consequent.

With correct deduction of consequences; with right connection of ideas; connectedly; coherently.

In sequence or course of time; hence, not immediately; eventually.

Consecutively: in due order and connection.

With assumed importance; with conceit; pompously; pretentiously.

ad. having consequence

inconsequentially   

logically    eventually    consecutively    continuously    pompously