https://www.bbc.com/news/world-europe-56325254
Samuel Paty was beheaded in October after showing students cartoons of the Prophet Muhammad.
The girl, whose complaints sparked an online campaign against Paty, has now admitted that she was not in the class.
Mr Paty's killing stunned France and led to an outpouring of support at memorial ceremonies and marches around the country.
The 13-year-old girl, who has not been officially named, originally told her father that Paty had asked Muslim students to leave the classroom while he showed the cartoon during a class on free speech and blasphemy.
According to evidence given by the girl seen by French media she said: "I didn't see the cartoons, it was a girl in my class who showed me them."
"She lied because she felt trapped in a spiral because her classmates had asked her to be a spokesperson," her lawyer, Mbeko Tabula, told AFP news agency.
The girl's father filed a legal complaint against the teacher and began a social media campaign over the incident based on his daughter's account. He identified Paty and the school in Conflans-Sainte-Honorine, west of Paris.
Prosecutors said shortly after the killing that there was a "direct causal link" between the online incitement against Paty and his murder.
The perpetrator, 18-year-old Abdullakh Anzorov, was shot dead by police shortly after the attack.
It then emerged that the campaign against the history and geography teacher had been based on a distorted account of what had happened in class days earlier.
As he had done in similar lessons on free speech in previous years, Paty warned students that he was about to show a depiction of Muhammad. He said anyone who thought they might be offended could close their eyes.
The girl had originally claimed the teacher had asked Muslim pupils to leave the room. When she objected she was suspended from school, she said. It now appears that the girl was suspended the day before the class was given, according to Le Parisien newspaper, because of repeated absence from school.
The girl explains in her leaked testimony that she made up the story so as not to disappoint her father. He posted two videos on social media in response to the allegations.
Speaking on French radio on Tuesday, the Paty family's lawyer said the girl's family knew that she had not been in class on the day in question and why she had been suspended. "So to come and say now, sorry, I believed my daughter's lies, that's really weak," Virginie Le Roy told RTL radio.
In a separate development, two university professors have been given police protection after they were accused of Islamophobia by student protesters.
An investigation has begun after posters were put up last week at Sciences Po university in Grenoble that read "Fascists in our lecture halls, Islamophobia kills", naming the two professors.
Junior Interior Minister Marlène Schiappa said their lives were in danger and the campaign was reminiscent of the harassment of Samuel Paty. "We can't tolerate this kind of thing," she said.
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France needs to do a better job of getting rid of jihadists like Abdullakh Anzorov, and those that would empower them. The mockery of any religion (or set of secular beliefs) should never be a cause of fear. Open dialogue is under assault through a variety of vectors but radical Islamists are the most direct and brutal problem.
