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Set Theory Help

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Thread replies: 6
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File: identities.jpg (272KB, 853x817px) Image search: [Google]
identities.jpg
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How can I prove Sb5 and Sb6 with the given axioms (Com, As, Dis, Id, Cmp) and the previous Sb's?

For Sb5 I understand I need to use Id, but I don't know where to start. Same with Sb6.
>>
>>114750
A∩Ac = Ac∩A = 0 (com, cmp)
A∪Ac = Ac∪A = U (com, cmp)
A'=Ac, B'=A then A=B'=A'c=Acc (sb5)
>>
>>114789
Thanks!
>>
Bumping this.

I'm still trying to work out Sb5 and I'm getting nowhere.
>>
File: 0506160503_HDR-1.jpg (730KB, 2293x2181px) Image search: [Google]
0506160503_HDR-1.jpg
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>>115275
Finally came up with this.

Can anyone check if it's solid? Sub = substitution, H1 = hypothesis 1, H2 = hypothesis 2
>>
>>115379
Seems okay, but you can shorten some steps.
Start with (Id) B ∩ U = B
Also in 7-> 8 you need an extra step.
Thread posts: 6
Thread images: 2


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