"I am going to fight the enemies of the humanity and the enemies of our homeland who are trying hard to erase its identity and destroy its gains and humiliate the Yemenis", said Major General Ahmed Ali Abdullah Saleh, Yemen's ambassador to the UAE and the former commander of the Republican Guard.
The Saudi-led coalition battling the rebels had thrown its support behind Saleh just hours before his death, as the longtime strongman's alliance with the rebels unraveled.
Speaking before a gathering of supporters, al-Houthi says: "We knew that they were deceived. we hadn't hoped for what happened".
Yemen has been embroiled in civil war since early 2015 when Houthi rebels took over the capital of Sanaa and President Abed Rabbo Mansour Hadi fled to the southern city of Aden.
Both Saleh and Houthis benefited from their four-year alliance as Saleh got Houthis manpower and firepower while Houthis gained from Saleh's governing and intelligence networks.
There was no independent confirmation, but pictures circulated on social media appeared to show Mr Saleh's body.
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A Saudi-led coalition has been fighting Iranian-backed Houthi rebels in Yemen for more than two years.
Global anti-poverty organization Oxfam praised Trump's action but called on him to do more to stop the bloodshed, including pushing for a ceasefire and ending arms sales to the Saudi-led coalition.
Around 20 women, dressed head to toe in black, did not hide their loyalty to the leader of three decades, who was killed by the Iran-backed rebels on Monday after their uneasy alliance collapsed.
Mohamed Ali al-Houthi, a rebel leader, said Tuesday that "some sons" of Saleh have been hospitalized, without providing further details.
Saleh on Saturday announced he was open to talks with Saudi Arabia and its allies on condition they ended their crippling blockade of Yemen's ports and airports.
Saleh was forced to step down in 2012 after his forces waged a bloody crackdown on peaceful Arab Spring-inspired protests calling for his ouster.
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In other areas like Fag Attan, Saleh's forces are still surrounded by Houthis.
Yemen's civil war has caused a desperate starvation in the country, as well as a cholera epidemic that has killed more than 2,000 people.
But with Saleh's forces seemingly in disarray, it was not immediately clear if the Saudi-led coalition would be able to turn the split to its advantage.
The fighting has claimed more than 10,000 lives since then.
The International Committee of the Red Cross said Monday that at least 125 people had been killed and some 240 wounded in Sanaa since the fighting began last week.
"They obviously care about USA support", Corker said.
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