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?
discrete-mathematics boolean-algebra
asked Nov 23 at 14:13
Amalma
1
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up vote
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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
asked Nov 23 at 14:13
Amalma
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 |
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
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
asked Nov 23 at 14:13
Amalma
1
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
asked Nov 23 at 14:13
Amalma
1
asked Nov 23 at 14:13
Amalma
1
asked Nov 23 at 14:13
Amalma
1
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