How can I prove that any finite Boolean algebra is complete?
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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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
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
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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?
discrete-mathematics boolean-algebra
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
discrete-mathematics boolean-algebra
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
add a comment |
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
add a comment |
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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