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  2. Theory Jordan_Curve

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Analysis/Jordan_Curve.html
    23 May 2024: Θ2))" and op_out12: "Θ1? ... Θ2))" and op_in1c: "Θ1?
  3. Dr Michael Knapton | Cambridge Cardiovascular

    https://www.cardiovascular.cam.ac.uk/directory/mknapton
    23 Feb 2024: Perk J, Priori SG, Pyorala K, Reiner Z, Ruilope L, Sans-Menendez S, Op Reimer WS, Weissberg P, Wood D, Yarnell J, Zamorano JL, Walma E, Fitzgerald T, Cooney MT, Dudina ... Perk J, Priori SG, Pyorala K, Reiner Z, Ruilope L, Sans-Menendez S, Op Reimer WS,
  4. https://www.phpc.cam.ac.uk/pcu/tag/carol-sinnott/feed/

    https://www.phpc.cam.ac.uk/pcu/tag/carol-sinnott/feed/
    19 Feb 2024: A snapshot of their findings is shown in the image below./h2 p /p pa ... png"img fetchpriority="high" decoding="async" class="alignleft wp-image-19982 size-large" src="https://www.phpc.cam.ac.uk/pcu/files/2020/03/THI-op-failures-primary-care-1024x610.png"
  5. Theory Coset

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Algebra/Coset.html
    23 May 2024: H #> x = x <# H) H G" by (simp add:is_group) lemma (in normal) inv_op_closed1: assumes "xG" and "h H" shows "(inv x) h x H" proof - have "h ... thesis by (inv_closed l_inv l_one m_assoc mem_carrier) qed lemma (in normal) inv_op_closed2: assumes "xG" and
  6. Theory HOL-Algebra.Coset

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Homology/HOL-Algebra.Coset.html
    23 May 2024: H #> x = x <# H) H G" by (simp add:is_group) lemma (in normal) inv_op_closed1: assumes "xG" and "h H" shows "(inv x) h x H" proof - have "h ... thesis by (inv_closed l_inv l_one m_assoc mem_carrier) qed lemma (in normal) inv_op_closed2: assumes "xG" and
  7. Theory OG_Tran

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Hoare_Parallel/OG_Tran.html
    23 May 2024: Theory OG_Tran. section ‹Operational Semantics› theory OG_Tran imports OG_Com begin type_synonym 'a ann_com_op = "('atype_synonym 'a ann_triple_op = "('aa assn)" primrec com :: "'a ... triple_op 'a ann_com_op" where "com (c, q) = c" primrec post ::
  8. Theory Com

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Induct/Com.html
    23 May 2024: Induction via Iteratived Inductive Definitions› theory Com imports Main begin typedecl loc type_synonym state = "datatype exp = N nat | X loc | Op "valOfVALOF _ RESULTIS _" 60) and com = SKIP | Assigninfixl ":=" 60) | Semi60, ... Note the form of the
  9. Theory Groups_Big

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/Groups_Big.html
    23 May 2024: p x 1}p {x I. p x 1} else 1" lemma finite_Collect_op: shows "⟦finite {i I.
  10. Theory Set_Interval

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/Set_Interval.html
    23 May 2024: Theory Set_Interval. ( Title: HOL/Set_Interval.thy Author: Tobias Nipkow, Clemens Ballarin, Jeremy Avigad lessThan, greaterThan, atLeast, atMost and two-sided intervals Modern convention: Ixy stands for an interval where x and y describe the lower
  11. Theory Zassenhaus

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Algebra/Zassenhaus.html
    23 May 2024: N<#>H⦈)" usingby blast hence HNH :"H N<#>H" by simp have op_hom : "fG⦇carrier := H⦈) (G⦇carrier := N <#> H⦈ Mod N)" unfolding hom_def proof have "x. ... have im_f : "(fG⦇carrier:=H⦈))G⦇carrier := N <#> H⦈ Mod N)" proof show
  12. https://www.med.cam.ac.uk/mallat/wp-json/wp/v2/pages/26

    https://www.med.cam.ac.uk/mallat/wp-json/wp/v2/pages/26
    23 Feb 2024: strong/pnpa href="https://scholar.google.com/citations?view_op=view_citation&hl=en&user=jm03h_oAAAAJ&sortby=pubdate&citation_for_view=jm03h_oAAAAJ:wSy_KLzO7YEC"Innate lymphoid cells promote recovery ... Journal of the American College of Cardiology 78 (11
  13. Theory HOL.Groups_Big

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Proofs/HOL.Groups_Big.html
    23 May 2024: p x 1}p {x I. p x 1} else 1" lemma finite_Collect_op: shows "⟦finite {i I.
  14. Theory SparseMatrix

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Matrix_LP/SparseMatrix.html
    23 May 2024: row_matrix_op_simps =lemmas sparse_row_matrix_arith_simps =lemma spm_linprog_dual_estimate_1: assumes "sorted_sparse_matrix A1" "sorted_sparse_matrix A2" "sorted_sparse_matrix c1" ... add: sparse_row_matrix_op_simps linprog_dual_estimate_1[where A=A]) )
  15. Theory Limits

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/Limits.html
    23 May 2024: f x - g x)" unfolding continuous_on_def by (auto intro: tendsto_diff) lemma continuous_on_op_minus: "continuous_on (s::'a::x)" by (simp) instanceproof fix a b :: 'a show "((
  16. Theory Cartesian_Space

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Analysis/Cartesian_Space.html
    23 May 2024: A $ im n j)" and row_op: "A m n c. ... Ci? C) = B" using ‹k l› by (simp add:show? thesis using row_op [OF PC, of l k, where c = "B$l$k / B$k$k"] eqB ‹k l› by (simp add: cong:
  17. Publications - Primary Care Unit

    https://www.phpc.cam.ac.uk/pcu/research/research-groups/cvd/publications/
    23 Feb 2024: Quick Links. For staff. For alumni. For business. Colleges & departments. Libraries & facilities. Museums & collections. Email & phone search. Site Search. Site Search. Publications. Cardiovascular Research Group. Primary Care Unit. Publications.
  18. Theory Free_Abelian_Groups

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Algebra/Free_Abelian_Groups.html
    23 May 2024: Theory Free_Abelian_Groups. section‹Free Abelian Groups› theory Free_Abelian_Groups importsbegin (Move? But where?) lemma eqpoll_Fpow: assumes "infinite A" shows "Fpow A A" unfolding eqpoll_iff_card_of_ordIso by (lemma
  19. File ‹Tools/BNF/bnf_lfp_compat.ML›

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/ISABELLE_HOME/src/HOL/Tools/BNF/bnf_lfp_compat.ML.html
    23 May 2024: in (case try HOLogic.dest_prodT body_T of NONE => [g] | SOME (fst_T, _) => if member (op =) fpTs fst_T then let val (xs, _) = mk_Frees "x" x_Ts ctxt in ... if member (op =) fpT_names T_name1 then nn_fp else (case Symtab.lookup all_infos T_name1 of SOME
  20. File ‹Tools/fixrec.ML›

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOLCF/ISABELLE_HOME/src/HOL/HOLCF/Tools/fixrec.ML.html
    23 May 2024: Trueprop t) ( similar to Thm.head_of, but for continuous application ) fun chead_of <Const_>‹Rep_cfun _ _ for f _› = chead_of f | chead_of u = u infix 1 === val (op ===) = ... with pattern constants ) fun add_matchers ms = FixrecMatchData.map (fold
  21. https://www.phpc.cam.ac.uk/pcu/tag/primary-care/feed/

    https://www.phpc.cam.ac.uk/pcu/tag/primary-care/feed/
    19 Feb 2024: A snapshot of their findings is shown in the image below./h2 p /p pa ... png"img fetchpriority="high" decoding="async" class="alignleft wp-image-19982 size-large" src="https://www.phpc.cam.ac.uk/pcu/files/2020/03/THI-op-failures-primary-care-1024x610.png"
  22. Professor Geoff Woods | Cambridge Institute for Medical Research

    https://www.cimr.cam.ac.uk/staff/professor-geoff-woods
    23 Feb 2024: Nahorski MS, Al-Gazali L, Hertecant J, Owen DJ, Borner GH, Chen YC, Benn CL, Carvalho OP, Shaikh SS, Phelan A, Robinson MS, Royle SJ, Woods CG. ... Nature Genet. 47, 803–808 (2015). Nahorski MS, Al-Gazali L, Hertecant J, Owen DJ, Borner GH, Chen YC,
  23. https://www.phpc.cam.ac.uk/pcu/tag/health-improvement/feed/

    https://www.phpc.cam.ac.uk/pcu/tag/health-improvement/feed/
    19 Feb 2024: A snapshot of their findings is shown in the image below./h2 p /p pa ... png"img fetchpriority="high" decoding="async" class="alignleft wp-image-19982 size-large" src="https://www.phpc.cam.ac.uk/pcu/files/2020/03/THI-op-failures-primary-care-1024x610.png"
  24. Theory Generated_Groups

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Algebra/Generated_Groups.html
    23 May 2024: Theory Generated_Groups. ( Title: HOL/Algebra/Generated_Groups.thy Author: Paulo Emílio de Vilhena ) section ‹Generated Groups› theory Generated_Groups importsbegin subsection ‹Generated Groups› inductive_set generate :: "('a, 'b)
  25. Not Averse:  The Last Kaua‘i ‘ō‘ō

    poetry.girton.cam.ac.uk/html/forwood_kaua.html
    29 May 2024: Home page Indexes: The Girton Poetry Group. Not Averse. I call for life, for you, ‘ō‘ō,. To, in feathered darkness, lay duet,. And quaver until the quivered solo. I throw back my head to when we set. This sweet song as our matching tones,.
  26. Department of Computer Science and Technology – TESLA: Demos

    https://www.cl.cam.ac.uk/research/security/ctsrd/tesla/demos.html
    10 Jul 2023: a/demos/smoketest/example.c b/demos/smoketest/example.c @@ -93,7 93,7 @@ example_syscall(struct credential cred, int index, int op) crypto_setup(&des_key, &key_schedule); - if ((error = ... security_check(cred, o, op))) return error; // if ((error =
  27. Errata in "ML for the Working Programmer", 2nd Edition

    https://www.cl.cam.ac.uk/~lp15/MLbook/ERRATA.html
    9 Feb 2024: foldr op@ [] [[1], [2,3], [4,5,6]]. ;. 187, line 3 (Franklin Chen): the expression given to ML should be. ... Thus, a constructor may have the form ". op. ", where.
  28. Dr Jamie Blundell | Department of Oncology

    https://www.oncology.cam.ac.uk/directory/j-blundell
    23 Feb 2024: Search site. Department of Oncology. Dr Jamie Blundell. Jamie holds the following roles:. Research Group Leader, CRUK Cambridge Centre Early Detection Programme. UKRI Future Leaders Fellow, University of Cambridge. Anthony L. Lyster Fellow,
  29. Dr James Fraser | Cambridge Cardiovascular

    https://www.cardiovascular.cam.ac.uk/directory/jfraser
    23 Feb 2024: Search site. Cambridge Cardiovascular. Dr James Fraser. I aim to improve the diagnosis and treatment of cardiac arrhythmias. My group’s current focus is on genetic conditions which predispose to sudden death. We aim to use what we learn from these
  30. Vice-Chancellor visits North West to encourage more Cambridge…

    https://www.cam.ac.uk/news/vice-chancellor-visits-north-west-to-encourage-more-cambridge-applications
    Thumbnail for Vice-Chancellor visits North West to encourage more Cambridge applications | University of Cambridge 23 Feb 2024: The Liverpool Echo has covered the visit and has also published an op-ed by Professor Prentice, sharing her concerns that admissions to Cambridge are skewed towards London and the South
  31. Theory OG_Hoare

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Hoare_Parallel/OG_Hoare.html
    23 May 2024: a ann_triple_op 'a ann_com_op" where "com (c, q) = c" primrec post :: "'a ann_triple_op 'a assn" where "post (c, q) = q" definition interfree_aux :: "('aaawhere
  32. 23 May 2024: For the first part of the lemma, assume that Op has uniformiser t. ... intersection of setsΣi,p B(Op) for all primes p (finite and infinite).
  33. Theory Riemann_Mapping

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Complex_Analysis/Riemann_Mapping.html
    23 May 2024: x f (D n)" using n ‹cmod x› by (auto simp:moreover have " f D nf A n)proof - have op_fDn: "open(f (D n))" proof (show "continuous_on (D ... thesis by (simp add: open_Int_closure_eq_empty [OF op_fDn]) qed ultimately show False using x [of n] by blast
  34. https://www.phpc.cam.ac.uk/pcu/tag/this-institute/feed/

    https://www.phpc.cam.ac.uk/pcu/tag/this-institute/feed/
    19 Feb 2024: A snapshot of their findings is shown in the image below./h2 p /p pa ... png"img fetchpriority="high" decoding="async" class="alignleft wp-image-19982 size-large" src="https://www.phpc.cam.ac.uk/pcu/files/2020/03/THI-op-failures-primary-care-1024x610.png"
  35. Theory AbelCoset

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Algebra/AbelCoset.html
    23 May 2024: H > x = x < H)" by (OF a_normal, foldedsimplified monoid_record_simps]) lemma (in abelian_subgroup) a_inv_op_closed1: shows "⟦xG; h H⟧ ( x) h x H" by (OF ... normal, folded a_inv_def, simplified monoid_record_simps]) lemma (in abelian_subgroup)
  36. BINOP2_CONV : conv -> conv -> conv SYNOPSIS Applies ...

    https://www.cl.cam.ac.uk/~jrh13/hol-light/HTML/BINOP2_CONV.html
    20 Oct 2023: DESCRIPTION. If c1 is a conversion where c1 l returns |- l = l' and c2 is a conversion where c2 r returns |- r = r', then BINOP2_CONV c1 c2 op l r ... The term op is arbitrary, but is often a constant such as addition or conjunction.
  37. Theory HOL.Set_Interval

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Proofs/HOL.Set_Interval.html
    23 May 2024: Theory HOL.Set_Interval. ( Title: HOL/Set_Interval.thy Author: Tobias Nipkow, Clemens Ballarin, Jeremy Avigad lessThan, greaterThan, atLeast, atMost and two-sided intervals Modern convention: Ixy stands for an interval where x and y describe the
  38. Theory TPTP_Proof_Reconstruction

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-TPTP/TPTP_Proof_Reconstruction.html
    23 May 2024: attempts = map instantiate parameters in (fold (curry (op APPEND')) attempts (K no_tac)) i st end end (Attempts to use the polar_allE theorems on a specific subgoal.) fun ... in if is_none quantified_var then no_tac st else if member (op =) parameters
  39. Nicola Wilson | Wellcome-MRC Cambridge Stem Cell Institute

    https://www.stemcells.cam.ac.uk/directory/nicola-wilson
    23 Feb 2024: Search site. Wellcome-MRC Cambridge Stem Cell Institute. Nicola Wilson. Nicola Wilson graduated from Huddersfield University in 2003 with a degree in Molecular and Cellular Biology. She received her PhD in 2007 from the University of Leeds and then
  40. Grace on fossil fuel industry ties | University of Cambridge

    https://www.cam.ac.uk/notices/grace-on-fossil-fuel-industry-ties
    17 Jul 2023: Foreword In July 2022 members of the University put forward a proposal calling for an end to all sponsorship and collaboration with companies involved in the
  41. BINOP_CONV : conv -> conv SYNOPSIS Applies a conversion ...

    https://www.cl.cam.ac.uk/~jrh13/hol-light/HTML/BINOP_CONV.html
    18 Jul 2023: DESCRIPTION. If c is a conversion where c l returns |- l = l' and c r returns |- r = r', then BINOP_CONV c op l r returns |- op l r = op l' ... r'. The term op is arbitrary, but is often a constant such as addition or conjunction.
  42. Theory Cooper

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Decision_Procs/Cooper.html
    23 May 2024: Theory Cooper. ( Title: HOL/Decision_Procs/Cooper.thy Author: Amine Chaieb ) section ‹Presburger arithmetic based on Cooper's algorithm› theory Cooper importsbegin subsection ‹Basic formulae› datatype (plugins del: size) num = C int | Bound
  43. Not Averse:  In Defence of Evolution

    poetry.girton.cam.ac.uk/html/garrigan-mattar_evolution.html
    29 May 2024: Home page Indexes: The Girton Poetry Group. Not Averse. I’m thinking up a theory to explain it—. Why Rhyme Royal is such a bloody chore. I’m trying to be cheerful, but can’t fain it:. With every line I hate the bugger more. And so my theory
  44. Working with crystals — CSD Python API 3.1.0 documentation

    https://downloads.ccdc.cam.ac.uk/documentation/API/descriptive_docs/crystal.html
    28 Mar 2024: It is easy to make a table by symmetry operator:. >>> print('n'.join('%-17s %s' % (op, utilities.print_set(crystal.atoms_on_special_positions(op))) for op in crystal.symmetry_operators))
  45. Theory HOL-Algebra.Generated_Groups

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Homology/HOL-Algebra.Generated_Groups.html
    23 May 2024: Theory HOL-Algebra.Generated_Groups. ( Title: HOL/Algebra/Generated_Groups.thy Author: Paulo Emílio de Vilhena ) section ‹Generated Groups› theory Generated_Groups importsbegin subsection ‹Generated Groups› inductive_set generate :: "('a, 'b
  46. Theory Henstock_Kurzweil_Integration

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Analysis/Henstock_Kurzweil_Integration.html
    23 May 2024: Theory Henstock_Kurzweil_Integration. ( Author: John Harrison Author: Robert Himmelmann, TU Muenchen (Translation from HOL light) Huge cleanup by LCP ) section ‹Henstock-Kurzweil Gauge Integration in Many Dimensions› theory
  47. Theory IFOLP

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/FOL/FOLP/IFOLP.html
    23 May 2024: hyps then case distinct (op =) (filter (fn hyp => Term.could_unify (hyp, concl)) hyps) of [_] => assume_tac ctxt i | _ => no_tac else no_tac end); end; › ( Modus Ponens Tactics ) (Finds
  48. Department of Computer Science and Technology – TESLA: Assertions and …

    https://www.cl.cam.ac.uk/research/security/ctsrd/tesla/programming.html
    10 Jul 2023: previously(security_check(ANY(ptr), o, op) == 0). This specifies that, within the TESLA automaton's bounds, the security_check() function was previously called with the parameters o and op and ... The first parameter ANY(ptr) is a "don't care": any call
  49. Dr Eoin McKinney | Cambridge Immunology Network

    https://www.immunology.cam.ac.uk/Networkdirectory/eoin
    23 Feb 2024: Search site. Cambridge Immunology Network. Dr Eoin McKinney. I have been using a custom spotted oligo microarray platform to investigate gene expression signatures in autoimmune diseases, specifically ANCA-associated systemic vasculitis and SLE. The
  50. Theory HOL

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/HOL.html
    23 May 2024: snd (op =)) data; ); fun add m = Data.map (cons (m, stamp ())); fun matches thy t = exists (fn (m, _) => m t) (Data.get thy); val meta_reorient = @{thm eq_commute [THEN
  51. Theory CTT

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/Misc/CTT/CTT.html
    23 May 2024: more) val (safe0_brls, safep_brls) = List.partition (curry (op =) 0 o subgoals_of_brl) safe_brls fun safestep_tac ctxt thms i = form_tac ctxt ORELSE resolve_tac ctxt thms

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