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(CNN) —  

President Donald Trump has made a blizzard of claims about Ukraine, China and the impeachment inquiry. Many of them have been attacks on Democrats, and many of them have been incorrect.

Here is a brief readers’ guide to our fact checks on all things related to Trump’s Ukraine controversy and the resulting impeachment inquiry.

This post will be updated as events unfold.

Hunter Biden and the investigation

Trump has repeatedly claimed that former vice president Joe Biden had called for the firing of a Ukrainian prosecutor who was “investigating his son.” There is no evidence Hunter Biden was ever under investigation. The investigation was into the business dealings of the owner of a Ukrainian natural gas company, Burisma Holdings, where Hunter Biden sat on the board of directors. In addition, a former Ukrainian deputy prosecutor and top anti-corruption activist have said the investigation was dormant at the time. And chief prosecutor Viktor Shokin’s successor, Yuriy Lutsenko, has said in interviews this year that Hunter Biden didn’t violate any Ukrainian laws.

Full fact check here.

Joe Biden’s pressure on Ukraine

Trump has also claimed that Biden pressured Ukraine to take chief prosecutor Viktor Shokin “off the case.” Biden pressured Ukrainian leaders to fire Shokin – the Obama administration, US allies and Ukrainian anti-corruption activists saw Shokin as unwilling to prosecute elite corruption – but there is no public evidence that Biden sought to get Shokin removed from any particular case.

Full fact check here.

Joe Biden’s boasting

Trump claimed in his July phone call with Ukrainian President Volodymyr Zelensky that Biden had boasted about having “stopped the prosecution.” Biden had boasted about getting Shokin fired, but he did not say he had stopped any prosecution. Shokin had been controversial precisely because he was unwilling to bring corruption prosecutions.

Full fact check here.

The Bidens and China

Trump has claimed that “Joe Biden and his son walk(ed) away with millions of dollars from Ukraine and then millions of dollars from China.” There is no basis for Trump’s claim about Joe Biden. A company on whose board Hunter Biden sat, however, received a large investment of Chinese capital shortly after Hunter Biden visited the country with his father, and Hunter Biden later purchased an equity stake in the company. A lawyer for Hunter Biden says he has not received any return or compensation from his investment or board position.

Full fact check here.

Trump has also conflated Hunter Biden’s involvement in Ukraine and China. On October 4, after speaking to reporters about Biden and China, Trump said, “Now I’m hearing the number $50,000 a month.” That is the approximate amount the New York Times has reported Biden was paid for his board role with Ukrainian company Burisma, not an amount related to China. Trump then claimed, seconds later, that Biden was “getting hundreds of thousands a month,” a number for which there is no public evidence.

Joe Biden’s previous comments

Trump said Joe Biden contradicted himself when he said in September that he had “never” spoken to his son Hunter about his son’s overseas business dealings; Trump claimed Joe Biden had previously said the opposite. That is not true. Hunter Biden, however, did tell the New Yorker that there was one father-son conversation about his business dealings in Ukraine.

Full fact check here.

The delay in aid to Ukraine

Before he began justifying his decision to delay military aid to Ukraine, Trump told reporters that there was no delay at all – an assertion obviously contradicted by the facts.

Trump suggested on September 23 that he froze the funds because he was worried about “corruption” and whether “that country is honest.” He explicitly said on September 24 that the funds were withheld, this time claiming he was waiting for “Europe and other nations” to spend their own money on Ukraine.

A full fact check is here.

European aid to Ukraine

Trump has repeatedly claimed the US is the “only” country providing aid to Ukraine, and he has specifically accused certain European countries of doing nothing. In reality, the EU has sent several billion dollars to Ukraine over the past few years.

Full fact check here.

Obama’s aid to Ukraine

Trump suggested that Barack Obama sent only “pillows and sheets” to Ukraine, not the lethal arms he has himself sent. This was hyperbole. While Trump is correct that Obama refused to provide lethal assistance, Obama did provide armored Humvees, drones, counter-mortar radar, night vision gear and medical supplies.

Full fact check here.

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