Re: [Hol-info] "Proofs of Life"/axiomatics for all

2019-03-19 Thread Rene Vestergaard
On 11/7/18 10:37 AM, Rene Vestergaard wrote: "Proofs of life: molecular-biology reasoning simulates cell behaviors from first principles" is now at http://arxiv.org/abs/1811.02478 accompanying video, with proof visualization and more:

Re: [Hol-info] HOL

2019-03-19 Thread Saburou Saitoh
Open problems Questions Dear Jose M: In addition: We have many and may problems, for example, could you derive the values of the Gamma function at the singular points? With best, SS 2019.3.20.10:35 Dear Jose M. I was able to know some about Isabelle HO/L from my colleague

Re: [Hol-info] Best way to conduct a generalized IMP_TRANS

2019-03-19 Thread Haitao Zhang
Thanks for the suggestion! I can use satTheory.AND_IMP to renormalize the intermediate resolution back to an implicative form, which should work. The reason that this issue came up is that asm_simp_tac seems to be sensitive to the ordering of antecedents/assumptions. I was trying to do a step

Re: [Hol-info] Best way to conduct a generalized IMP_TRANS

2019-03-19 Thread Waqar Ahmad via hol-info
Hi Haitao, You can introduce the conjunction among the antecedents as: val GEN_IMP_TRANS_conj = (REWRITE_RULE [GSYM satTheory.AND_IMP] GEN_IMP_TRANS); val GEN_IMP_TRANS_conj = ⊢ ∀P Q R S. (∀x. P x ⇒ Q (R x)) ∧ (∀x. Q x ⇒ S x) ⇒ ∀x. P x ⇒ S (R x): thm On Tue, Mar 19, 2019 at 5:30 AM

[Hol-info] Best way to conduct a generalized IMP_TRANS

2019-03-19 Thread Haitao Zhang
I have two assumptions both in implicative forms with universal quantification. I would like to obtain an MP in the spirit of the following theorem: val GEN_IMP_TRANS = store_thm("GEN_IMP_TRANS", ``!P Q R S. (!x. P x ==> Q (R x)) ==> (!x. Q x ==> S x) ==> (!x. P x ==> S (R x))``,