Analysts say that the legal challenge has little chance of success given the courts' historic tilt towards ZANU-PF, which has ruled since independence from British colonial rule in 1980.
"In the alternative, we seek that there be another election which complies with the dictates of the law", Mpofu said.
Biti was Thursday charged with inciting poll related violence as well violating the country's electoral laws through claims MDC Alliance candidate Nelson Chamisa has romped to victory.
Judges must rule on the case within 14 days and could declare a victor, call another election, or order a run-off or recount, the Veritas legal group said.
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Zambia risks losing aid from the United States government following the forced deportation of Zimbabwean opposition politician Tendai Biti. "There is no inauguration that will take place until the matter is determined by the court".
The MDC Alliance's legal representatives‚ Chris Mhike and Sylvester Hashiti‚ and his chief election agent‚ Jameson Timba‚ arrived at the court about 30 minutes before the courts closed for the end of the day at 4pm to file the papers.
"If [the judges] think the evidence is weak they could throw the case out fairly fast".
"The concerns on the welfare of Tendai Biti are foremost in the minds of many in the global community; you have seen a statement from the EU, Canada, Australia and the U.S.", he said while referring to an earlier statement by in which the western countries called on authorities to stick to the confines of the law in handling alleged political violations by the opposition.
The election passed off relatively smoothly but its aftermath revealed the deep rifts in Zimbabwean society.
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The ruling party was quick to dismiss the bid.
The Zimbabwe Human Rights Commission said it was concerned that no one was taking responsibility for the deployment of soldiers that the opposition says were harassing its supporters and ordinary citizens in townships at night.
Britain's Minister for Africa Harriett Baldwin said in a statement she had spoken to Chamisa and Zimbabwe's Foreign Minister Sibusiso Moyo to urge calm while the election challenge was being considered by the court.
The MDC-Alliance intends to scuttle the inauguration through an application challenging the presidential election results. The case was postponed to next Wednesday.
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