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  2. Theory Wfd

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/FOL/CCL/Wfd.html
    23 May 2024: a,a'ra; pa,ba',b'⟧ R" and 3: "a b b'. ⟦<b,b'rb; pa,ba,b'⟧ R" shows R apply (THEN lexXH [THEN iffD1], THEN exE]) usingapply blast done ... induct]) apply (apply (apply (erule 2) apply blast done lemma SPLITB: "a,b>,B) = B(a,b)" unfolding SPLIT_def
  3. https://www.oncology.cam.ac.uk/taxonomy/term/12/feed

    https://www.oncology.cam.ac.uk/taxonomy/term/12/feed
    23 Feb 2024: JR, Bliss JM and <b>Coles CE</b> on behalf of the IMPORT Trialists. ... Hak C, Qian W, Twyman N, Burnet NG, Wishart GC and <b>Coles CE</b>.
  4. Theory OrderArith

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/FOL/ZF/OrderArith.html
    23 May 2024: b Bb',b⟩:s" by (unfoldlemma radd_Inr_Inl_iff [simp]: "⟨Inr(b), Inl(a)⟩A,r,B,s)by (unfolddeclare radd_Inr_Inl_iff [THENsubsubsection‹Elimination Rule› lemma raddE: ... Can be used to obtain introduction rules› lemma rmult_iff [iff]:
  5. Theory FSet

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Library/FSet.html
    23 May 2024: transfer by simp lift_definition ffold :: "('a 'b 'b) 'b 'a fset 'b" is Finite_Set.fold. ... A || C" by (lemma fsubset_pfsubset_trans: "A || B B || C A || C" by (lemma pfsubset_imp_ex_fmem: "A || B b.
  6. Theory HOL.Fun

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Proofs/HOL.Fun.html
    23 May 2024: and (Haskell) infixr 9 "." subsection ‹The Forward Composition Operator ‹fcomp›› definition fcomp :: "('a 'b) ('b 'c) 'a 'c" (infixl ">" 60) where "f > g = (λx.
  7. Theory HOL.Filter

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Proofs/HOL.Filter.html
    23 May 2024: a B b B xB. F xF a) (F b)) eventually P (bB. ... F. B) B" unfoldingby (force intro: eventually_True) lemma prod_filter_INF: assumes "Iand "Jshows "(iI.
  8. https://www.cardiovascular.cam.ac.uk/taxonomy/term/56/feed

    https://www.cardiovascular.cam.ac.uk/taxonomy/term/56/feed
    23 Feb 2024: 11),14878-14891.</p> <p><i>Heritability of Haemodynamics in the Ascending Aorta</i>.McGurk KA, Owen B,<b>Watson WD</b>, Nethonoda RM, Cordell HJ, Farrall M, Rider OJ, Watkins ... JJ, Sayeed RA, Petrou M, Krasopoulos G, Lake HA, Raman B,<b>Watson WD</b>,
  9. https://www.cardiovascular.cam.ac.uk/taxonomy/term/55/feed

    https://www.cardiovascular.cam.ac.uk/taxonomy/term/55/feed
    23 Feb 2024: fibrinogen: A randomised double-blind placebo-controlled trial.</a> <b>PLoS One</b>. ... Chest</b><b></b><b> </b>2017 Mar;151(3):555-563.
  10. Theory HOL

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/HOL.html
    23 May 2024: Pz = x) (Pz = y))" definition Let :: "'a ('a 'b) 'b" where "Let s f f s" translations "_Let (_binds b bs) e" "_Let b (_Let bs e)" "let x = a in ... lemma not_sym: "t s s t" by (erule contrapos_nn) (erule sym) lemma eq_neq_eq_imp_neq: "⟦x = a; a b; b =
  11. Theory Cardinal

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/FOL/ZF/Cardinal.html
    23 May 2024: b B⟧ cons(a,A)b,B)" apply (unfoldapply (rule_tac x = "λycons (a,A). ... B; a A; b B⟧ cons(a,A)b,B)" by (simp add:lemma cons_lepoll_cons_iff: "⟦a A; b B⟧ cons(a,A)b,B) A B" by (blast
  12. Theory Gauss

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Number_Theory/Gauss.html
    23 May 2024: thesis by (qed show? thesis usingby (qed lemma SR_B_inj: "inj_on (λx. ... E: "using finite_E by (simp add:lemma C_card_eq_B: "proof - have "inj_on (λx.
  13. Theory Nitpick

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/Nitpick.html
    23 May 2024: a A b B}" definition refl' :: "('a 'a)where "refl' r x. ... set xs = Axs))inductive fold_graph' :: "('a 'b 'b) 'b 'a set 'b bool" where "fold_graph' f z {} z" | "⟦x A; fold_graph' f z (A - {x}) y⟧ fold_graph'
  14. https://www.immunology.cam.ac.uk/taxonomy/term/28/feed

    https://www.immunology.cam.ac.uk/taxonomy/term/28/feed
    23 Feb 2024: 2012;7(12)</span></p> <p class=" "><em>S</em>chwarz E, Guest PC, Steiner J, Bogerts B, <b>Bahn S.</b> (2012)<span>Identification of blood-based molecular signatures for ... sup>, David Niebuhr<sup>1</sup>, David Cowan, Fuller Torrey E, Robert H Yolken,
  15. Theory Power

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/Power.html
    23 May 2024: simp]: "⟦b; bb m b n n m" using power_strict_decreasing [of m n b] by (auto intro:lemma power_strict_decreasing_iff [simp]: "⟦b; bb m < b ... le) qed lemma power_increasing_iff [simp]: "b b x b y x y" by (blast intro:less_imp_le) lemma
  16. Theory KerberosIV

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Auth/KerberosIV.html
    23 May 2024: FROM the responder) | K6: "⟦ evs6 kerbIV; Says A' B ⦃ (B) ⦃Agent A, Agent B, Key servK, Number Ts⦄), (Crypt servK ⦃Agent A, Number T3⦄)⦄evs6;Ts evs6;T3 evs6 ⟧ Says B ... evs); Key SesKeyevs); evs⟧ K=K' B=B' T=T' Ticket=Ticket'" apply
  17. Theory OrderType

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/FOL/ZF/OrderType.html
    23 May 2024: def) done lemma pred_Inr_bij: "b B id(AB,b,s))AB,b,s), pred(AB, Inr(b), radd(A,r,B,s)))" unfoldingapply (rule_tac d = "λz. ... z" indone lemma ordertype_pred_Inr_eq: "⟦b B; well_ord(A,r); well_ord(B,s)⟧AB, Inr(b), radd(A,r,B,s)),
  18. Directory | Department of Oncology

    https://www.oncology.cam.ac.uk/directory/b
    23 Feb 2024: Search site. Department of Oncology. Directory. Select. please select. A. B.
  19. Theory Euclidean_Rings

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/Euclidean_Rings.html
    23 May 2024: next assume "euclidean_size bshow "bproof (assume "bwith mod_size_less have "euclidean_size (b mod b)b". ... b dvd f a}› with ‹finite A› have ‹finite B› and ‹a B b dvd f a› for a by simp_all then have ‹(aB.
  20. Theory Record

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL/Record.html
    23 May 2024: iso_tuple_fst_update :: "('a, 'b, 'c) tuple_isomorphism ('b 'b) ('a 'a)" where "iso_tuple_fst_update isom fisomfisom" definition iso_tuple_snd_update :: "('a, 'b, 'c) tuple_isomorphism ('c ... b 'b) ('a 'a)) ('a 'b) bool" where
  21. Theory RBT

    https://www.cl.cam.ac.uk/research/hvg/Isabelle/dist/library/HOL/HOL-Library/RBT.html
    23 May 2024: lift_definition bulkload :: "('a::b) list ('a, 'b) rbt" is "rbt_bulkload". lift_definition map_entry :: "'a ('b 'b) ('a::linorder, 'b) rbt ('a, 'b) rbt" is rbt_map_entry by ... lift_definition combine_with_key :: "('a 'b 'b 'b) ('a::linorder, 'b) rbt ('a,

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