Re: [Hol-info] Singletons belong to Borel sets

2016-03-14 Thread Muhammad Qasim
x /\ x <= b} IN subsets Borel, (problem) Sincerely, Qasim Quoting Ramana Kumar : > Have you already proved the two lemmas you suggested already? > Namely: all singletons are closed, and all closed sets are Borel? > I would suggest proving those two separately first. > > On 11 Ma

[Hol-info] Singletons belong to Borel sets

2016-03-10 Thread Muhammad Qasim
Hello Everyone, I want to prove the following, `{PosInf} IN subsets Borel` or `{x:extreal} IN subsets Borel` Since all closed sets belong to Borel sets and all singletons are closed sets, it should be provable. I have tried different approaches but failed. Can someone suggest a way to prove

[Hol-info] Induction in HOL4

2015-05-23 Thread Muhammad Qasim
Hello Everyone, A theorem named nn_integral_density' in Nonnegative_Lebesgue_Integration theory of isabelle. They used induct to prove it. When applied induct 5 cases where returned. Does someone know of an alternative in HOL4 ? I am trying to prove the same theorem in HOL4 i.e., `!f g M.

Re: [Hol-info] Inductive_set definition in HOL4

2015-03-11 Thread Muhammad Qasim
ll give you? > > On Tue, Mar 10, 2015 at 6:33 PM, Muhammad Qasim > wrote: > >> Hello Everyone, >> >> I saw an inductive_set definition in Isabelle. Is there a way to do >> such defi

[Hol-info] Inductive_set definition in HOL4

2015-03-11 Thread Muhammad Qasim
Hello Everyone, I saw an inductive_set definition in Isabelle. Is there a way to do such definitions in HOL4? Thank you. Regards Qasim -- Dive into the World of Parallel Programming The Go Parallel Website, sponsore

[Hol-info] WF_INDUCT_TAC for HOL4

2014-12-11 Thread Muhammad Qasim
Hello, I am looking for an alternative of WF_INDUCT_TAC for HOL4. I would be greatful if someone can provide good advice. I found a link for this tactic but the code is for hol_light. http://mws.cs.ru.nl/~mptp/hol-flyspeck/trunk/wf.html Looking forward to your response. Thank you. Regards