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% every nonempty set of nats has a least element. % This also holds for any subtype T of the integers. % % Author: Jerry James (jamesj@acm.org), University of Kansas % Date: 13 Jan 2005 bounded_nats[T: TYPE FROM nat]: THEORY BEGIN IMPORTING bounded_integers[T] every_nonempty_set_has_least: JUDGEMENT (nonempty?[T]) SUBTYPE_OF (has_least?(<=)) END bounded_nats
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2026-07-09