How can I prove that any finite Boolean algebra is complete?












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There is only the statement that any finite Boolean algebra is complete, but no rigorous proof is presented anywhere. Could you help please?










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  • Use the definition. Any finite subset has joins and meets..
    – Berci
    Nov 23 at 14:16










  • Start by defining what a "finite Boolean algebra" is, and please edit your post to include the definition you've learned in the body of the post. As is, without adding more information, including what I suggest, your question is very poor and will likely be closed.
    – amWhy
    Nov 23 at 14:16












  • inf {a,b,c} = inf {inf {a,b}, c} for example.
    – William Elliot
    Nov 24 at 4:38
















-2














There is only the statement that any finite Boolean algebra is complete, but no rigorous proof is presented anywhere. Could you help please?










share|cite|improve this question






















  • Use the definition. Any finite subset has joins and meets..
    – Berci
    Nov 23 at 14:16










  • Start by defining what a "finite Boolean algebra" is, and please edit your post to include the definition you've learned in the body of the post. As is, without adding more information, including what I suggest, your question is very poor and will likely be closed.
    – amWhy
    Nov 23 at 14:16












  • inf {a,b,c} = inf {inf {a,b}, c} for example.
    – William Elliot
    Nov 24 at 4:38














-2












-2








-2







There is only the statement that any finite Boolean algebra is complete, but no rigorous proof is presented anywhere. Could you help please?










share|cite|improve this question













There is only the statement that any finite Boolean algebra is complete, but no rigorous proof is presented anywhere. Could you help please?







discrete-mathematics boolean-algebra






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asked Nov 23 at 14:13









Amalma

1




1












  • Use the definition. Any finite subset has joins and meets..
    – Berci
    Nov 23 at 14:16










  • Start by defining what a "finite Boolean algebra" is, and please edit your post to include the definition you've learned in the body of the post. As is, without adding more information, including what I suggest, your question is very poor and will likely be closed.
    – amWhy
    Nov 23 at 14:16












  • inf {a,b,c} = inf {inf {a,b}, c} for example.
    – William Elliot
    Nov 24 at 4:38


















  • Use the definition. Any finite subset has joins and meets..
    – Berci
    Nov 23 at 14:16










  • Start by defining what a "finite Boolean algebra" is, and please edit your post to include the definition you've learned in the body of the post. As is, without adding more information, including what I suggest, your question is very poor and will likely be closed.
    – amWhy
    Nov 23 at 14:16












  • inf {a,b,c} = inf {inf {a,b}, c} for example.
    – William Elliot
    Nov 24 at 4:38
















Use the definition. Any finite subset has joins and meets..
– Berci
Nov 23 at 14:16




Use the definition. Any finite subset has joins and meets..
– Berci
Nov 23 at 14:16












Start by defining what a "finite Boolean algebra" is, and please edit your post to include the definition you've learned in the body of the post. As is, without adding more information, including what I suggest, your question is very poor and will likely be closed.
– amWhy
Nov 23 at 14:16






Start by defining what a "finite Boolean algebra" is, and please edit your post to include the definition you've learned in the body of the post. As is, without adding more information, including what I suggest, your question is very poor and will likely be closed.
– amWhy
Nov 23 at 14:16














inf {a,b,c} = inf {inf {a,b}, c} for example.
– William Elliot
Nov 24 at 4:38




inf {a,b,c} = inf {inf {a,b}, c} for example.
– William Elliot
Nov 24 at 4:38















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