Hana said she was not going to invite her brothers to her birthday party.
Conclusion
At least some of Hana's brothers must have been among the guests at Hana's birthday party after all.
Evidence (since)
Even though Hana said she wasn't going to invite her brothers, one of the gifts Hana received at her party was a recording she had been saying she wanted. Her brothers planned to give her that recording.
Evaluate
Since Hana got a recording that her brothers were planning to give her, does that prove that some of the brothers were at the party?
No that doesn't prove that. Couldn't we think of alternate explanations for how Hana would get that gift, even though her brothers weren't at the party?
- it's possible her brothers just left that gift at the party location ahead of time, but didn't attend the party
- it's possible her brothers sent the gift with someone else who they knew was invited to the party
- it's possible someone else got her the recording, too, since Hana had apparently expressed an interest in it.
Goal
The author is too sure of one possible causal explanation for how Hana got that recording as a gift. Let's look for an answer calling out that overconfidence or suggesting an alternative explanation.