-
in file
cantor.v,- new definitions
cantor_space,cantor_like,pointed_discrete, andtree_of. - new lemmas
cantor_space_compact,cantor_space_hausdorff,cantor_zero_dimensional,cantor_perfect,cantor_like_cantor_space,tree_map_props,homeomorphism_cantor_like, andcantor_like_finite_prod. - new theorem
cantor_surj.
- new definitions
-
in file
topology.v,- new lemmas
perfect_set2, andent_closure. - lemma
clopen_surj
- new lemmas
-
in
normedtype.v:- hints for
at_right_proper_filterandat_left_proper_filter
- hints for
-
in
realfun.v:- notations
nondecreasing_fun,nonincreasing_fun,increasing_fun,decreasing_fun - lemmas
cvg_addrl,cvg_addrr,cvg_centerr,cvg_shiftr,nondecreasing_cvgr,nonincreasing_at_right_cvgr,nondecreasing_at_right_cvgr,nondecreasing_cvge,nondecreasing_is_cvge,nondecreasing_at_right_cvge,nondecreasing_at_right_is_cvge,nonincreasing_at_right_cvge,nonincreasing_at_right_is_cvge
- notations
-
in
ereal.v:- lemmas
ereal_sup_le,ereal_inf_le
- lemmas
-
in
normedtype.v:- definition
lower_semicontinuous - lemma
lower_semicontinuousP
- definition
-
in
numfun.v:- lemma
patch_indic
- lemma
-
in
lebesgue_measure.v- lemma
lower_semicontinuous_measurable
- lemma
-
in
lebesgue_integral.v:- definition
locally_integrable - lemmas
integrable_locally,locally_integrableN,locally_integrableD,locally_integrableB - definition
iavg - lemmas
iavg0,iavg_ge0,iavg_restrict,iavgD - definitions
HL_maximal - lemmas
HL_maximal_ge0,HL_maximalT_ge0,lower_semicontinuous_HL_maximal,measurable_HL_maximal,maximal_inequality
- definition
-
in file
measure.v- add lemmas
ae_eq_subset,measure_dominates_ae_eq.
- add lemmas
-
in
normedtype.v:- lemmas
vitali_lemma_finiteandvitali_lemma_finite_covernow returns duplicate-free lists of indices
- lemmas
-
moved from
lebesgue_integral.vtomeasure.v:- definition
ae_eq - lemmas
ae_eq0,ae_eq_comp,ae_eq_funeposneg,ae_eq_refl,ae_eq_trans,ae_eq_sub,ae_eq_mul2r,ae_eq_mul2l,ae_eq_mul1l,ae_eq_abse
- definition
- in
exp.v:lnX->lnXn
- in
lebesgue_integral.vge0_integral_bigsetUgeneralized fromnattoeqType