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12 | 12 |
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13 | 13 | - in `normed_module.v`: |
14 | 14 | + lemma `limit_point_infinite_setP` |
15 | | -- in `probability.v`: |
16 | | - + definition `ccdf` |
17 | | - + lemmas `lebesgue_stieltjes_cdf_id`, `cdf_ccdf_1`, `ccdf_nonincreasing`, `cvg_ccdfy0`, `cvg_ccdfNy1`, `ccdf_right_continuous`, `ge0_expectation_ccdf` |
18 | | - + corollaries `ccdf_cdf_1`, `ccdf_1_cdf`, `cdf_1_ccdf` |
19 | | - |
20 | | -- in `num_normedtype.v`: |
21 | | - + lemma `nbhs_infty_gtr` |
22 | | -- in `function_spaces.v`: |
23 | | - + lemmas `cvg_big`, `continuous_big` |
24 | | - |
25 | | -- in `realfun.v`: |
26 | | - + lemma `cvg_addrl_Ny` |
27 | | - |
28 | | -- in `constructive_ereal.v`: |
29 | | - + lemmas `mule_natr`, `dmule_natr` |
30 | | - + lemmas `inve_eqy`, `inve_eqNy` |
31 | | - |
32 | | -- in `uniform_structure.v`: |
33 | | - + lemma `continuous_injective_withinNx` |
34 | | - |
35 | | -- in `constructive_ereal.v`: |
36 | | - + variants `Ione`, `Idummy_placeholder` |
37 | | - + inductives `Inatmul`, `IEFin` |
38 | | - + definition `parse`, `print` |
39 | | - + number notations in scopes `ereal_dual_scope` and `ereal_scope` |
40 | | - + notation `- 1` in scopes `ereal_dual_scope` and `ereal_scope` |
41 | | -- in `pseudometric_normed_Zmodule.v`: |
42 | | - + lemma `le0_ball0` |
43 | | -- in `theories/landau.v`: |
44 | | - + lemma `littleoE0` |
45 | | - |
46 | | -- in `constructive_ereal.v`: |
47 | | - + lemma `lt0_adde` |
48 | | - |
49 | | -- in `unstable.v` |
50 | | - + lemmas `coprime_prodr`, `Gauss_dvd_prod`, `expn_prod`, `mono_leq_infl`, |
51 | | - `card_big_setU` |
52 | | - |
53 | | -- file `pnt.v` |
54 | | - + definitions `next_prime`, `prime_seq` |
55 | | - + lemmas `leq_prime_seq`, `mem_prime_seq` |
56 | | - + theorem `dvg_sum_inv_prime_seq` |
57 | | -- new directory `theories/measure_theory` with new files: |
58 | | - + `measurable_structure.v` |
59 | | - + `measure_function.v` |
60 | | - + `counting_measure.v` |
61 | | - + `dirac_measure.v` |
62 | | - + `probability_measure.v` |
63 | | - + `measure_negligible.v` |
64 | | - + `measure_extension.v` |
65 | | - + `measurable_function.v` |
66 | | - + `measure.v` |
67 | | - |
68 | | -- in `realfun.v`: |
69 | | - + lemmas `derivable_oy_continuous_within_itvcy`, |
70 | | - `derivable_oy_continuous_within_itvNyc` |
71 | | - + lemmas `derivable_oo_continuousW`, |
72 | | - `derivable_oy_continuousWoo`, |
73 | | - `derivable_oy_continuousW`, |
74 | | - `derivable_Nyo_continuousWoo`, |
75 | | - `derivable_Nyo_continuousW` |
76 | 15 |
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77 | 16 | - in `measurable_function.v`: |
78 | 17 | + lemma `preimage_set_system_compS` |
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