The directed plump ordering

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Daniel Gratzer, Michael Shulman, Jonathan Sterling

Published: 2022, Last Modified: 16 Mar 2025CoRR 2022EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Based on Taylor's hereditarily directed plump ordinals, we define the directed plump ordering on W-types in Martin-L\"of type theory. This ordering is similar to the plump ordering but comes equipped with non-empty finite joins in addition to the usual properties of the plump ordering.