Re: [Hol-info] Partial Order for Set Supremum

2018-09-02 Thread Michael.Norrish
the above with x and y to be those two elements and have the assumption reduce to F.) Michael From: Waqar Ahmad via hol-info Reply-To: Waqar Ahmad <12phdwah...@seecs.edu.pk> Date: Saturday, 1 September 2018 at 09:31 To: hol-info Subject: [Hol-info] Partial Order for Set Supremum Hi, L

[Hol-info] Partial Order for Set Supremum

2018-08-31 Thread Waqar Ahmad via hol-info
Hi, Lately, I proved the equivalence of two supremum functions as: |- !P. (!x y. P x /\ P y ==> x <= y) /\ P <> {} ==> (BIGSUP $<= P P = SOME (sup P)): thm where BIGSUP is defined in [1] and "sup" can be found in HOL realTheory. I'm not sure why the premise (!x y. P x /\ P