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4 Jun 2024: p style="text-align: left;"b[beep]Generation–the new Polish Poets, /b/p p style="text-align: left;"Monday 10th February, 2020, 18.00–19.30/p p ... Wilson Drama Studio, Faculty of English, 9 West Road, Cambridge CB3 9DP/p p /p p style="text-align: left

23 May 2024: bB r a b" "a1 a2 b. ⟦ a1 A; a2 A; b B; r a1 b; r a2 b ⟧ a1 = a2" shows "card AB" proof - let? ... P = "λa b. b B r a b" let? f = "λa.

23 May 2024: thesis by (simp add:qed theorem n_subsets: assumes "finite A" shows "card {B. ... g? B? B'" apply (where f' = "λl. (ll"]) using assms by (auto simp: 2 simp flip: length_0_conv intro!: 3) have fin: "finite {xs.

23 May 2024: simp]: "(vc t) = (v «| t)" by (cases t) auto lemma paint_rbt_less[simp]: "(paint c t |« v) = (t |« v)" by (cases t) auto fun rbt_ins :: "('a 'b 'b 'b) ... f k v t rule:end context ord begin definition rbt_insert_with_key :: "('a 'b 'b 'b) 'a 'b ('a,'b)

23 May 2024: P x)xP x)› by auto lemma verit_ite_simplify: ‹(B C) = B› ‹(B C) = C› ‹(If A' B B) = B› ‹(A') B C)A' C B)› ‹(If c (If c ... by auto lemmas verit_eq_simplify =lemma verit_minus_simplify: ‹(a :: 'a ::a› ‹(a :: 'a ::a› ‹b :: 'b :

23 May 2024: by (simp add:next show "a a" for a by (simp add: order_iff) next fix a b assume "a b" "b a" then have "a = a b" "a b = b" ... by (simp_all add: order_iff commute) then show "a = b" by simp next fix a b c assume "a b" "b c" then have "a = a b" "b = b c"

23 May 2024: A" by (blast dest: fun_is_rel) lemma range_type: "⟦⟨a,b⟩ f; fA,B)⟧ b B(a)" by (blast dest: fun_is_rel) lemma Pair_mem_PiD: "⟦⟨a,b⟩: f; ... fA,B)⟧ a A b B(a) fa = b" by (blast intro:subsection‹Lambda Abstraction› lemma lamI: "a A <a,b(a

23 Feb 2024: AP, Goddard, M, Littlewood, TD, Bennett, MR.b /bApoptosis of vascular smooth muscle cells induces featuu00adres of plaque vulnerability in atherosclerosis. ... iAm. J. Respir. Cell. Mol. Biol/i. 2003; 29(5):i /i562-570./a/pnpa

23 May 2024: of forward proof!) lemma well_ord_iso_preserving: "⟦well_ord(A,r); well_ord(B,s); ⟨a,c⟩: r; fA,a,r), r, pred(B,b,s), s); gA,c,r), ... r, pred(B,d,s), s); a A; c A; b B; d B⟧ ⟨b,d⟩: s" apply (frule ord_iso_is_bij [THEN bij_is_fun, THEN

23 May 2024: EX a:A. xa)) | (EX b:B. xb))}" definition Pi :: "[where "Pi(A,B) == {x. ... pair: "⟦a = a'; b = b'; <a',b'A⟧ <a,bA" by simp ML ‹ val coinduct3_tac = SUBPROOF (fn {context = ctxt, prems = mono :: prems,. } =>

23 May 2024: BA. f B B})" proof (rule order.antisym) show "A)f A |f. ... B A f B B" "B A" for f B using that by (auto intro: SUP_upper2 INF_lower2) then show "(x?F.

23 Feb 2024: Ferreira, Edson Antunes, Sisi Marcondes<b> </b>Life Sci. 2016 Dec 22. pii: S0024-3205(16)30708-1. ... Lopes-Pires ME</b>, Casarin AL, Pereira-Cunha FG, Lorand-Metze I,<b> </b>Antunes E, Marcondes S.

23 May 2024: thesis. qed lemma order_less_subst1: "(a::'a::f b (b::'b::c (!x y. x < y f x < f y) a < f c" proof - assume r: "!x y. ... thesis. qed lemma order_subst1: "(a::'a::f b (b::'b::c (!x y. x <= y f x <= f y) a <= f c" proof - assume r: "!x y.

23 May 2024: simp lemma set_mset_empty [simp]: "by (simp add: set_mset_def) lemma set_mset_single: "set_mset {#b#} = {b}" by (simp add: set_mset_def) lemma ... Mx A" by (where x = "Mx#}"]) simp lemma multiset_add_sub_el_shuffle: assumes "c # B" and "b c" shows

22 Jan 2024: other vectors lying in the plane are linear combinations of a and b, i.e. ... addition. z. x. y. a. a. b. b. 010. On this stereogram, the poles we already know are identified.

23 May 2024: be f surj(A,B), b B for symmetry with left_inverse? ... b,B))" unfolding inj_def apply (force intro: apply_type simp add: fun_extend) done end.

23 May 2024: subset: "A = B A B B A" by blast lemma subset_iff: "A Bt. ... vimageI [intro]: "f a = b b B a f - B" unfolding vimage_def by blast lemma vimageI2: "f a A a f - A" unfolding vimage_def by fast lemma vimageE [elim!]:

23 Feb 2024: Campus./p pOn the International Women’s Day, the book featured in the Guardian.b/b/p pa

23 May 2024: zero [simp]: "begin subclass ring_1_no_zero_divisors proof fix a b :: 'a assume a: "aand b: "bshow "a bproof assume ab: "a bhence "a (a b)b" by simp ... thesis by (qed lemma division_ring_inverse_add: "ababa (a b)b" by (simp add: algebra_simps) lemma

23 May 2024: bB. x b j) (x = t) (x - D = t))" "⟦Dt B⟧ ((x::jD}. ... bB. x b j) (x t) (x - D t))" "⟦Dt B⟧ ((x::jD}.