File size: 5,950 Bytes
133c9fa
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
coheyting_hom.coe_comp
with_bot.coe_min
strict_anti_of_odd_strict_anti_on_nonneg
function.injective.nat_tendsto_at_top
image2_lower_bounds_upper_bounds_subset_lower_bounds_image2
orientation.oangle_sign_add_right
ultrafilter.exists_le
order.not_is_pred_limit_pred_of_not_is_min
order.Ioo_succ_right_eq_insert
Inf_within_of_ord_connected
probability_theory.truncation_zero
order_hom.le_prev_fixed_iff
Inf_hom.dual_comp
prod.swap_Sup
charted_space_self_atlas
order_top.ext
intent_closure_anti
codisjoint.map_order_iso
lower_set.disjoint_coe
tangent_bundle_core_coord_change_model_space
euclidean_geometry.sphere.cospherical
galois_connection.u_comm_of_l_comm
intermediate_field.smul_mem
has_mfderiv_within_at.has_mfderiv_at
ratfunc.lift_monoid_with_zero_hom_apply
filter.inter_mem_inf
eq_of_inf_eq_sup_eq
antivary_on_to_dual_left
filter.tendsto_const_pure
Inf_empty
cont_mdiff_on.smooth_on
disjoint.le_symm_diff_sup_symm_diff_right
set.bounded_lt_Iio
set.chain_height_eq_supr_Iic
is_compl.left_le_iff
model_with_corners_self_coe
diffeomorph.cont_mdiff_within_at_trans_diffeomorph_left
rel_iso.eq_iff_eq
lower_bounds_mono_mem
to_dual_compares_to_dual
sym2.game_add_mk_iff
rel_iso.range_eq
monotone_on_const
order.ideal.is_prime_iff_mem_or_compl_mem
probability_theory.kernel.lintegral_piecewise
filter.germ.max_def
strict_mono.monotone
filter.join_principal_eq_Sup
exists_lt_of_cInf_lt
measure_theory.hitting_le_of_mem
glb_Ioi_eq_self_or_Ioi_eq_Ici
subfield_class.coe_rat_mem
simplex_category.le_of_mono
max_associative
no_max_order.not_acc
structure_groupoid.local_invariant_prop.lift_prop_on_of_mem_maximal_atlas
filter.mem_at_top
orientation.oangle_eq_zero_iff_angle_eq_zero
finpartition.mem_bot_iff
perfect_closure.nat_cast_eq_iff
measure_theory.lower_crossing_time_lt_of_lt_upcrossings_before
ultrafilter.eventually_not
with_bot.forall
probability_theory.ident_distrib.ae_strongly_measurable_fst
filter.comap_inf_principal_ne_bot_of_image_mem
is_lub_lt_iff
jordan_holder_lattice.is_maximal_of_eq_inf
is_coatom.is_maximal
algebraic_topology.dold_kan.compatibility.equivalence₂_counit_iso_eq
sup_hom.dual_comp
interval.coe_subset_coe
filter.map_compose
filter.eventually_eq.cont_mdiff_within_at_iff
euclidean_geometry.oangle_midpoint_rev_right
filter.image_coe_mem_of_mem_comap
lower_set.prod_eq_bot
with_bot.some_le_some
continuous_at_ext_chart_at
filter.mem_comap_iff
supr_mono'
affine.simplex.sum_reflection_circumcenter_weights_with_circumcenter
filter.order_bot.at_bot_eq
finset.is_pwo_sup
lattice_hom.symm_dual_id
lattice.ext
rel_iso.surjective
cInf_le_cSup
has_le.le.gt_iff_ne
filter.tendsto_add_at_top_iff_nat
smooth_on.comp'
affine.simplex.centroid_eq_affine_combination_of_points_with_circumcenter
csupr_le_iff'
not_is_max_bot
infi_const_mono
rel_hom_class.acc
probability_theory.Indep_sets.Indep
antisymm_rel.trans_wcovby
algebraic_topology.dold_kan.Γ₀.obj.map_on_summand'
disjoint.sup_right
filter.coe_pure_one_hom
filter.prod_same_eq
not_rel_of_subsingleton
filter.eventually_le.sup_le
probability_theory.kernel.ext_fun
has_le.le.ge
with_bot.to_dual_apply_coe
filter.frequently_low_scores
himp_bot
orientation.two_zsmul_oangle_neg_right
galois_insertion.is_coatom_of_image
codisjoint.bihimp_eq_inf
filter.map₂_mk_eq_prod
csupr_mul_csupr_le
min_lt_iff
structure_groupoid.local_invariant_prop.congr_iff
structure_groupoid.local_invariant_prop.lift_prop_on_of_mem_groupoid
infi_le_infi_of_subset
galois_connection.id
sup_hom.comp_assoc
is_antichain.minimals_eq
finset.coe_Ici
intermediate_field.rank_bot
orientation.norm_div_tan_oangle_add_left_of_oangle_eq_pi_div_two
supr_eq_top
inf_hom.copy_eq
finpartition.mem_bind
is_max.snd
order_iso.range_eq
coheyting.hnot_boundary
filter.eventually_le.trans_eq
filter.le_limsup_of_frequently_le
algebraic_topology.dold_kan.higher_faces_vanish.of_succ
heyting.regular.to_regular_coe
max_le_iff
filter.monotone_lift
algebraic_topology.inclusion_of_Moore_complex_map_f
is_min_on_iff
orientation.inner_rotation_pi_div_two_left
intermediate_field.exists_finset_of_mem_supr
filter.is_unit_iff
order.ideal.prime_pair.compl_F_eq_I
measure_theory.martingale_zero
eq_bot_or_bot_lt
filter.has_basis.forall_mem_mem
filter.mem_coprod_iff
FinPartOrd_dual_comp_forget_to_PartOrd
strict_anti.is_max_of_apply
measure_theory.stopped_process_eq_of_ge
pmf.to_outer_measure_apply_eq_one_iff
euclidean_geometry.sphere.second_inter_mem
smooth_const
cinfi_eq_of_forall_ge_of_forall_gt_exists_lt
measure_theory.pdf.real.has_pdf_iff_of_measurable
inf_covby_of_covby_sup_right
rel_iso.ext
is_compl_bot_top
infi₂_comm
with_top.map_coe
order.succ_le_of_lt
measure_theory.mul_upcrossings_before_le
monotone.antivary
filter.le_def
order.pred_top_lt_iff
set.unbounded_gt_of_unbounded_ge
orientation.abs_oangle_sub_right_to_real_lt_pi_div_two
is_alg_closed.roots_eq_zero_iff
order.Ico_succ_right_of_not_is_max
order.succ_le_iff
filter.zero_smul_filter_nonpos
mv_polynomial.expand_zmod
measure_theory.pdf.is_uniform.is_probability_measure
filter.eventually_iff_seq_eventually
interval.coe_ssubset_coe
ratfunc.eval_X
minpoly.not_is_unit
filter.lift'_pure
le_iff_eq_sup_sdiff
probability_theory.kernel.measurable
nonempty_interval.fst_dual
cSup_Ioo
concept.snd_subset_snd_iff
ext_chart_at_preimage_mem_nhds_within'
intermediate_field.subsingleton_of_finrank_adjoin_eq_one
with_bot.succ_coe
filter.le_limsup_of_frequently_le'
probability_theory.measure_zero_or_one_of_measurable_set_limsup_at_top
set.unbounded_ge_univ
tangent_map_comp_at
filter.zero_zero_at_filter
filter.eventually_eq.compl
disjoint_Sup_iff
le_compl_iff_disjoint_right
max_eq_top
inf_sup_assoc_of_le
heyting.regular.coe_to_regular
filter.lift_comm
principal_seg.cod_restrict_apply
filter.map_map₂_right_comm
tangent_bundle.trivialization_at_symmL
diffeomorph.symm_image_image
pmf.mem_support_of_multiset_iff
polynomial.gal.mul_splits_in_splitting_field_of_mul
filter.frequently_const
orientation.oangle_sign_sub_right_eq_neg
cont_mdiff_map.mdifferentiable