There has been some discrepancy as to whether the air strikes were caused by drones or helicopters.
Russian Federation objects to the British-drafted resolution blaming Haftar for the latest flare-up in violence when the LNA began its advance on Tripoli while UN Secretary-General Antonio Guterres was visiting Libya on April 4 in a bid to jumpstart a peace process between rival Libyan camps.
France dismissed the allegation even after it recently moved to prevent the European Union (EU) from condemning Haftar's push into Tripoli.
Several airstrikes were carried out against military positions held by Haftar's self-styled Libyan National Army (LNA) some 100 kilometers (60 miles) southwest of the capital, according to the GNA's military spokesman Colonel Mohamad Gnounou.
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A voter casts her ballot at a polling station during the second round of a presidential election in Kiev , Ukraine April 21, 2019. Russian Federation seized Crimea in 2014 in a move that Ukraine and nearly all of the world views as illegal.
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While the spokesman added that no definite conclusions had been made, they wanted to err on the side of "sensitivity". Smith's 1931 song "That's Why Darkies Were Born " was at the heart of the current controversy.
Wearing the trademark yellow vests of French anti-government demonstrators, they were among thousands of Libyans who flooded a central Tripoli square to rally in support of the internationally-recognised Government of National Accord (GNA).
Libya has remained beset by turmoil since long-serving leader Muammar Gaddafi was ousted and killed in a bloody NATO-backed uprising in 2011.
Mr Gnounou said strikes took place south of Gharian, 100 kilometres southwest of the capital, and against an airbase at Al-Wotya, 50 kilometres further southwest.
On Thursday, both the United States and Russian Federation said they could not support a U.N. Security Council resolution calling for a ceasefire in Libya at this time.
Al Jazeera's Mahmoud Abdel Wahed, reporting from Tripoli, said while GNA forces claim Haftar's fighters were on the retreat, the battle would not be easy "because Haftar's forces are supported by regional powers, like Egypt, Saudi Arabia and the United Arab Emirates".
As well as the rivalry between the GNA and the LNA, a myriad militias have vied for control of key cities, alongside periodic jihadi activity.