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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJan 27th 2019
   • (edited Jan 27th 2019)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded statement of existence of linear extensions ([here](https://ncatlab.org/nlab/show/partial+order#LinearExtensionPrinciple)) Will give this its own entry at _[[linear extension of a partial order]]_, for ease of referencing <a href="https://ncatlab.org/nlab/revision/diff/partial+order/50">diff</a>, <a href="https://ncatlab.org/nlab/revision/partial+order/50">v50</a>, <a href="https://ncatlab.org/nlab/show/partial+order">current</a>

   added statement of existence of linear extensions (here)

   Will give this its own entry at linear extension of a partial order, for ease of referencing

   diff, v50, current

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeJan 27th 2019
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexFor what interest this may have, I'd imagine this proposition would be provable using just the [[ultrafilter theorem]] in place of the axiom of choice. (But I'd have to write out a proof to be sure.)

   For what interest this may have, I’d imagine this proposition would be provable using just the ultrafilter theorem in place of the axiom of choice. (But I’d have to write out a proof to be sure.)