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Description: (This theorem is a
dummy placeholder for these guidelines. The name of
this theorem, "mathbox", is hardcoded into the Metamath program
to
identify the start of the mathbox section for web page generation.)
A "mathbox" is a usercontributed section that is maintained by its contributor independently from the main part of set.mm. For contributors: By making a contribution, you agree to release it into the public domain, according to the statement at the beginning of set.mm. Mathboxes are provided to help keep your work synchronized with changes in set.mm, but they shouldn't be depended on as a permanent archive. If you want to preserve your original contribution, it is your responsibility to keep your own copy of it along with the version of set.mm that works with it. Guidelines: 1. If at all possible, please use only 0ary class constants for new definitions, for example as in dfdiv 9667. 2. Try to follow the style of the rest of set.mm. Each $p and $a statement must be immediately preceded with the comment that will be shown on its web page description. The metamath program command "write source set.mm /rewrap" will take care of wrapping comment lines and indentation conventions. All mathbox content will be on public display and should hopefully reflect the overall quality of the website. 3. Before submitting a revised mathbox, please make sure it verifies against the current set.mm. 4. Mathboxes should be independent i.e. the proofs should verify with all other mathboxes removed. If you need a theorem from another mathbox, that is fine (and encouraged), but let me know, so I can move the theorem to the main section. One way avoid undesired accidental use of other mathbox theorems is to develop your mathbox using a modified set.mm that has mathboxes removed. Notes: 1. I may decide to move some theorems to the main part of set.mm for general use. In that case, an author acknowledgment will be added to the description of the theorem. 2. I may make changes to mathboxes to maintain the overall quality of set.mm. Normally I will let you know if a change might impact what you are working on. 3. If you use theorems from another user's mathbox, I don't provide assurance that they are based on correct or consistent $a statements. (If you find such a problem, please let me know so it can be corrected.) (Contributed by NM, 20Feb2007.) (New usage is discouraged.) 
Ref  Expression 

mathbox 
Step  Hyp  Ref  Expression 

1  equid 1688  1 
Colors of variables: wff set class 
This theorem was proved from axioms: ax1 5 ax2 6 ax3 7 axmp 8 axgen 1555 ax5 1566 ax17 1626 ax9 1666 ax8 1687 
This theorem depends on definitions: dfbi 178 dfex 1551 
Copyright terms: Public domain  W3C validator 