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Tiger Woods Me and My Ex Had No Oral Deal ... She Had No Right to Live in My House!!!

Tiger Woods has fired back at his ex-gf, disputing her claim he had an oral agreement to let her live in his house and essentially support her for years ... in what is shaping up to be a hyper-nasty $30 million lawsuit.

Tiger's lawyers are challenging Erica Herman, who claimed in her lawsuit Tiger promised to support her and let her live in his house for at least 5 more years in return for services (she did not specify) -- this before he broke up with her a few months back.

According to legal docs, Tiger's lawyers said (BTW the house is partly owned by a trust)  ... "During their relationship, Mr. Woods invited Ms. Herman to live with him as his guest in the Residence. Mr. Woods never negotiated an oral tenancy agreement with Ms. Herman. Nor was there ever a written tenancy agreement between Mr. Woods or the Trust, on the one hand, and Ms. Herman, on the other hand. Mr. Woods never transferred to Ms. Herman any ownership interest in or rights of possession to the Residence."

Herman claimed in her lawsuit ... Tiger's people convinced her to pack a suitcase back in the fall for a "short vacation" -- without Tiger -- and drove her to the airport. Upon their arrival at the airport, Herman claims she was told the locks to the house were changed and she was out.

Tiger's lawyers claim the golfing legend did not throw Erica out in the cold ... rather, they say Tiger put her up in a luxury resort and gave her enough money for a new residence.

Herman is also challenging the NDA she says Tiger made her sign, claiming it's unenforceable under a federal law that nullifies NDA's if there are matters involving sexual assault or harassment.  This is a separate legal action and Tiger's lawyers did not address this in his legal filing.

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