Christians being thrown to the lions is a myth.
And the Christians had no problem with witch burnings and public executions of heretics. Thousands of their fellow Christians were slaughtered in wars between the Catholics and heretics such as the Monophysites and the Arians.
You should have stuck it out to 4th grade, Comrade Stalin.
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According to the historian Tacitus, Christians during Nero's time (at least) were mainly torn apart by dogs, crucified, or burned alive — no mention of lions. The Romans did throw people to lions on occasion, and Tertullian, writing later, remarks that the Romans were always ready to exclaim "Away with the Christians to the lion!" whenever times got tough. However, Tertullian doesn't claim he witnessed any martyrdoms-by-lion personally, and anyway he was a Christian himself. Fact is, while the Romans evidently fed Christians to animals, and people to lions, we have no source stating directly that they specifically fed Christians to lions. So theoretically it's possible the whole Christians-lions thing was a Christian ploy for sympathy.
But probably not. The Romans did a big business in mass slaughter by and of animals, showing great enterprise in arranging dramatic forms of killing, so if they didn't throw any Christians to the lions, it was likely an oversight. While record keeping at the time wasn't the best, and many early Christian texts have their implausible moments, here's what we can say with reasonable certainty:}
The Straight Dope Were Christians really thrown to the lions
Comrade Stalin, you're stupid as pond scum - and I mean that as a compliment...