|
***
*** top (22:54:31 11/7/2014)
*** Generated by proveit - ProofLite-6.0.9 (3/14/14)
***
Proof summary for theory top
Theory totals: 0 formulas, 0 attempted, 0 succeeded (0.00 s)
Proof summary for theory continuous_functions_aux
continuous_lr_def.....................proved - complete [shostak](-.87 s)
Theory totals: 1 formulas, 1 attempted, 1 succeeded (-0.87 s)
Proof summary for theory probability_measure
trivial_probability_measure_TCC1......proved - complete [shostak](0.05 s)
probability_measure_TCC1..............proved - complete [shostak](0.17 s)
probability_measure_is_finite_measure...proved - complete [shostak](0.19 s)
random_variable_TCC1..................proved - complete [shostak](0.13 s)
P_fullset.............................proved - complete [shostak](0.02 s)
P_convergence.........................proved - complete [shostak](0.06 s)
P_emptyset............................proved - complete [shostak](0.03 s)
P_disjointunion.......................proved - complete [shostak](0.11 s)
P_complement..........................proved - complete [shostak](0.25 s)
P_union...............................proved - complete [shostak](0.44 s)
P_intersection........................proved - complete [shostak](0.12 s)
P_difference..........................proved - complete [shostak](0.02 s)
P_subset..............................proved - complete [shostak](0.13 s)
P_subset_le...........................proved - complete [shostak](0.06 s)
P_IUnion..............................proved - complete [shostak](0.08 s)
P_IIntersection.......................proved - complete [shostak](0.04 s)
P0_intersection.......................proved - complete [shostak](0.05 s)
P0_union..............................proved - complete [shostak](0.08 s)
P1_intersection.......................proved - complete [shostak](0.28 s)
P1_union..............................proved - complete [shostak](0.12 s)
measure_to_df_TCC1....................proved - incomplete [shostak](0.13 s)
Theory totals: 21 formulas, 21 attempted, 21 succeeded (2.57 s)
Proof summary for theory probability_space
zero_TCC1.............................proved - complete [shostak](0.02 s)
one_TCC1..............................proved - complete [shostak](0.01 s)
lesseqp_TCC1..........................proved - incomplete [shostak](0.02 s)
lessp_TCC1............................proved - incomplete [shostak](0.13 s)
equal_TCC1............................proved - incomplete [shostak](0.41 s)
lessp_TCC2............................proved - incomplete [shostak](0.13 s)
lesseqp_TCC2..........................proved - incomplete [shostak](0.02 s)
notequal_TCC1.........................proved - incomplete [shostak](0.24 s)
complement_le1........................proved - incomplete [shostak](0.03 s)
complement_lt1........................proved - incomplete [shostak](0.02 s)
complement_eq.........................proved - incomplete [shostak](0.02 s)
complement_lt2........................proved - incomplete [shostak](0.03 s)
complement_le2........................proved - incomplete [shostak](0.03 s)
complement_ne.........................proved - incomplete [shostak](0.03 s)
plus_TCC1.............................proved - incomplete [shostak](0.13 s)
plus_TCC2.............................proved - incomplete [shostak](0.05 s)
difference_TCC1.......................proved - incomplete [shostak](0.14 s)
difference_TCC2.......................proved - incomplete [shostak](0.02 s)
divide_TCC1...........................proved - incomplete [shostak](0.18 s)
independent?_TCC1.....................proved - complete [shostak](0.20 s)
borel_independence....................proved - complete [shostak](0.08 s)
partial_sum_is_random_variable_TCC1...proved - complete [shostak](0.01 s)
partial_sum_is_random_variable........proved - incomplete [shostak](0.14 s)
distribution_function_TCC1............proved - incomplete [shostak](0.04 s)
invert_distribution...................proved - incomplete [shostak](0.05 s)
interval_distribution.................proved - incomplete [shostak](0.21 s)
limit_distribution_TCC1...............proved - incomplete [shostak](0.21 s)
limit_distribution....................proved - incomplete [shostak](0.58 s)
distribution_0........................proved - incomplete [shostak](0.20 s)
distribution_1........................proved - incomplete [shostak](0.13 s)
distribution_increasing...............proved - incomplete [shostak](0.04 s)
distribution_right_continuous.........proved - incomplete [shostak](0.47 s)
Theory totals: 32 formulas, 32 attempted, 32 succeeded (4.03 s)
Proof summary for theory conditional
P_TCC1................................proved - complete [shostak](0.02 s)
P_TCC2................................proved - complete [shostak](0.25 s)
conditional_complement................proved - complete [shostak](0.59 s)
conditional_partition_TCC1............proved - complete [shostak](0.03 s)
conditional_partition.................proved - complete [shostak](0.52 s)
bayes_theorem_TCC1....................proved - complete [shostak](0.07 s)
bayes_theorem.........................proved - complete [shostak](0.27 s)
Theory totals: 7 formulas, 7 attempted, 7 succeeded (1.76 s)
Proof summary for theory expectation
E_zero_TCC1...........................proved - incomplete [shostak](0.04 s)
E_zero................................proved - incomplete [shostak](0.04 s)
E_one_TCC1............................proved - incomplete [shostak](0.24 s)
E_one.................................proved - incomplete [shostak](0.08 s)
E_phi_TCC1............................proved - incomplete [shostak](0.07 s)
E_phi.................................proved - incomplete [shostak](0.04 s)
E_add.................................proved - incomplete [shostak](0.05 s)
E_scal................................proved - incomplete [shostak](0.04 s)
E_opp.................................proved - incomplete [shostak](0.05 s)
E_diff................................proved - incomplete [shostak](0.05 s)
E_nonneg..............................proved - incomplete [shostak](0.04 s)
markov_inequality_TCC1................proved - incomplete [shostak](0.06 s)
markov_inequality.....................proved - incomplete [shostak](1.08 s)
markov_inequality_alt.................proved - incomplete [shostak](0.16 s)
Theory totals: 14 formulas, 14 attempted, 14 succeeded (2.04 s)
Grand Totals: 75 proofs, 75 attempted, 75 succeeded (9.53 s)
[ Dauer der Verarbeitung: 0.17 Sekunden
(vorverarbeitet)
]
|
