Does anyone have evidence of Holden lying?

From the text:

"Oh, how nice!" the lady said. But not corny. She was just nice and all. "I must tell Ernest we met," she said. "May I ask your name, dear?"

"Rudolf Schmidt," I told her. I didn't feel like giving her my whole life history. Rudolf Schmidt was the name of the janitor of our dorm.

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I'm the most terrific liar you ever saw in your life. It's awful. If I'm on my way to the store to buy a magazine, even, and somebody asks me where I'm going, I'm liable to say I'm going to the opera. It's terrible. So when I told old Spencer I had to go to the gym and get my equipment and stuff, that was a sheer lie. I don't even keep my goddam equipment in the gym.

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Then, just to show you how crazy I am, when we were coming out of this big clinch, I told her I loved her and all. It was a lie, of course, but the thing is, I meant it when I said it.