-
in
realfun.v
:- lemmas
cvg_pinftyP
,cvg_ninftyP
- lemmas
-
in
mathcomp_extra.v
:- lemma
bij_forall
- lemma
-
in
normedtype.v
:- lemma
cvgyNP
- lemma
-
in
realfun.v
:- lemmas
cvg_pinftyP
,cvg_ninftyP
- lemmas
-
in
filter.v
(new file):- lemma
in_nearW
- lemma
-
in
topology.v
:- lemma
open_in_nearW
- lemma
-
in
classical_sets.v
:- lemma
not_setD1
- lemma
-
in
measure.v
:- lemma
measurable_fun_set1
- lemma
-
in file
classical_orders.v
,- new definitions
big_lexi_order
,same_prefix
,first_diff
,big_lexi_le
, andstart_with
. - new lemmas
same_prefix0
,same_prefix_sym
,same_prefix_leq
,same_prefix_refl
,same_prefix_trans
,first_diff_sym
,first_diff_unique
,first_diff_SomeP
,first_diff_NoneP
,first_diff_lt
,first_diff_eq
,first_diff_dfwith
,big_lexi_le_reflexive
,big_lexi_le_anti
,big_lexi_le_trans
,big_lexi_le_total
,start_with_prefix
,leEbig_lexi_order
,big_lexi_order_prefix_lt
,big_lexi_order_prefix_gt
,big_lexi_order_between
, andbig_lexi_order_interval_prefix
.
- new definitions
-
in
numfun.v
:- lemma
gt0_funeposM
renamed toge0_funeposM
and hypothesis weakened from strict to large inequality - lemma
gt0_funenegM
renamed toge0_funenegM
and hypothesis weakened from strict to large inequality - lemma
lt0_funeposM
renamed tole0_funeposM
and hypothesis weakened from strict to large inequality - lemma
lt0_funenegM
renamed tole0_funenegM
and hypothesis weakened from strict to large inequality
- lemma
-
theories/topology.v
split intoclassical/filter.v
andtheories/topology.v
-
moved from
topology.v
tofilter.v
- definition
set_system
, coercionset_system_to_set
- mixin
isFiltered
, structuresFiltered
,PointedFiltered
(with resp. typesfilteredType
andpfilteredType
) - mixin
selfFiltered
- factory
hasNbhs
- structures
Nbhs
,PointedNbhs
(with resp. typesnbhsType
,pnbhsType
) - definitions
filter_from
,filter_prod
- definitions
prop_near1
,prop_near2
- notations
{near _, _}
,\forall _ \near _, _
,near _, _
,{near _ & _, _}
,\forall _ \near _ & _, _
,\forall _ & _ \near _, _
,\near _ & _, _
- lemmas
nearE
,eq_near
,nbhs_filterE
- module
NbhsFilter
(with definitionnbhs_simpl
) - definition
cvg_to
, notation_ `=>` _
- lemmas
cvg_refl
,cvg_trans
, notation_ --> _
- definitions
type_of_filter
,lim_in
,lim
- notations
[lim _ in _]
,[cvg _ in _]
,cvg
- definition
eventually
, notation\oo
- lemmas
cvg_prod
,cvg_in_ex
,cvg_ex
,cvg_inP
,cvgP
,cvg_in_toP
,cvg_toP
,dvg_inP
,dvgP
,cvg_inNpoint
,cvgNpoint
- lemmas
nbhs_nearE
,near_nbhs
,near2_curry
,near2_pair
,filter_of_nearI
- definition
near2E
- module
NearNbhs
(with (re)definitionnear_simpl
and ltacnear_simpl
) - lemma
near_swap
- classes
Filter
- lemmas
filter_setT
,filterP_strong
- structure
filter_on
- definition
filter_class
- coercion
filter_filter'
- structure
pfilter_on
- definition
pfilter_class
- canonical
pfilter_filter_on
- coercion
pfilter_filter_on
- definiton
PFilterType
- instances
filter_on_Filter
,pfilter_on_ProperFilter
- lemma
nbhs_filter_onE
,near_filter_onE
- definition and canonical
trivial_filter_on
- lemmas
filter_nbhsT
,nearT
,filter_not_empty_ex
- lemma
filter_ex_subproof
, definitionfilter_ex
- lemma
filter_getP
- record
in_filter
- module type
in_filter
, modulePropInFilter
, notationprop_of
, definitionprop_ofE
, notation_ \is_near _
, definitionis_nearE
- lemma
prop_ofP
- definition
in_filterT
- canonical
in_filterI
- lemma
filter_near_of
- fact
near_key
- lemmas
mark_near
,near_acc
,near_skip_subproof
- tactic notations
near=>
,near:
,near do _
- ltacs
just_discharge_near
,near_skip
,under_near
,end_near
,done
- lemmas
have_near
,near
,nearW
,filterE
,filter_app
,filter_app2
,filter_app3
,filterS2
,filterS3
,filter_const
,in_filter_from
,near_andP
,nearP_dep
,filter2P
,filter_ex2
,filter_fromP
,filter_fromTP
,filter_from_filter
,filter_fromT_filter
,filter_from_proper
,filter_bigI
,filter_forall
,filter_imply
- definition
fmap
- lemma
fmapE
- notations
_ @[_ --> _]
,_ @[_ \oo]
,_ @ _
,limn
,cvgn
- instances
fmap_filter
,fmap_proper_filter
- definition
fmapi
, notations_
@[_ --> ],
@ _
- lemma
fmapiE
- instances
fmapi_filter
.fmapi_proper_filter
- lemmas
cvg_id
,fmap_comp
,appfilter
,cvg_app
,cvgi_app
,cvg_comp
,cvgi_comp
,near_eq_cvg
,eq_cvg
,eq_is_cvg_in
,eq_is_cvg
,neari_eq_loc
,cvg_near_const
- definition
continuous_at
, notationcontinuous
- lemma
near_fun
- definition
globally
, lemmaglobally0
, instancesglobally_filter
,globally_properfilter
- definition
frechet_filter
, instancesfrechet_properfilter
,frechet_properfilter_nat
- definition
at_point
, instanceat_point_filter
- instances
filter_prod_filter
,filter_prod_proper
, canonicalprod_filter_on
- lemmas
filter_prod1
,filter_prod2
- definition
in_filter_prod
- lemmas
near_pair
,cvg_cst
,cvg_snd
,near_map
,near_map2
,near_mapi
,filter_pair_set
,filter_pair_near_of
- module export
NearMap
- lemmas
filterN
,cvg_pair
,cvg_comp2
- definition
cvg_to_comp_2
- definition
within
, lemmasnear_withinE
,withinT
,near_withinT
,cvg_within
,withinET
, instancewithin_filter
, canonicalwithin_filter_on
, lemmafilter_bigI_within
- definition
subset_filter
, instancesubset_filter_filter
, lemmasubset_filter_proper
- definition
powerset_filter_from
, instancepowerset_filter_from_filter
- lemmas
near_small_set
,small_set_sub
,near_powerset_filter_fromP
,powerset_filter_fromP
,near_powerset_map
,near_powerset_map_monoE
- definitions
principal_filter
,principal_filter_type
- lemmas
principal_filterP
,principal_filter_proper
- class
UltraFilter
, lemmaultraFilterLemma
- lemmas
filter_image
,proper_image
,principal_filter_ultra
,in_ultra_setVsetC
,ultra_image
- instance
smallest_filter_filter
- fixpoint
filterI_iter
- lemmas
filterI_iter_sub
,filterI_iterE
- definition
finI_from
- lemmas
finI_from_cover
,finI_from1
,finI_from_countable
,finI_fromI
,filterI_iter_finI
,filterI_iter_finI
- definition
finI
- lemmas
finI_filter
,filter_finI
,meets_globallyl
,meets_globallyr
,meetsxx
,proper_meetsxx
- definition
-
changed when moved from
topology.v
tofilter.v
Build_ProperFilter
->Build_ProperFilter_ex
ProperFilter'
->ProperFilter
- remove notation
ProperFilter
-
moved from
topology.v
tomathcomp_extra.v
:- lemma
and_prop_in
- lemmas
mem_inc_segment
,mem_inc_segment
- lemma
-
moved from
topology.v
toboolp.v
:- lemmas
bigmax_geP
,bigmax_gtP
,bigmin_leP
,bigmin_ltP
- lemmas
- in
constructive_ereal.v
:- lemmas
maxeMr
,maxeMl
,mineMr
,mineMr
: hypothesis weakened from strict inequality to large inequality
- lemmas
- in
lebesgue_integral.v
:- lemma
integral_setD1_EFin
- lemmas
integral_itv_bndo_bndc
,integral_itv_obnd_cbnd
- lemmas
Rintegral_itv_bndo_bndc
,Rintegral_itv_obnd_cbnd
- lemma
- in
topology.v
:- notation
[filteredType _ of _]
- definition
fmap_proper_filter'
- definition
filter_map_proper_filter'
- definition
filter_prod_proper'
- notation