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'F' (Lemmas)

FilesABCDEFGHIJKLMNOPQRSTUVWXYZ_*
DefinitionsABCDEFGHIJKLMNOPQRSTUVWXYZ_*
LemmasABCDEFGHIJKLMNOPQRSTUVWXYZ_*
AbbreviationsABCDEFGHIJKLMNOPQRSTUVWXYZ_*
Global IndexABCDEFGHIJKLMNOPQRSTUVWXYZ_*

F (Lemmas)

factor_bij [prf, in mathcomp.classical.set_interval]
factor_flat [prf, in mathcomp.classical.set_interval]
factor_inj [prf, in mathcomp.classical.set_interval]
factor_itv_bij [prf, in mathcomp.classical.set_interval]
factorK [prf, in mathcomp.classical.set_interval]
factorl [prf, in mathcomp.classical.set_interval]
factorr [prf, in mathcomp.classical.set_interval]
falseE [prf, in mathcomp.classical.boolp]
fam_compact_nbhs [prf, in mathcomp.analysis.function_spaces]
fam_cvgE [prf, in mathcomp.analysis.function_spaces]
fam_cvgP [prf, in mathcomp.analysis.function_spaces]
fam_nbhs [prf, in mathcomp.analysis.function_spaces]
family_cvg_finite_covers [prf, in mathcomp.analysis.function_spaces]
family_cvg_subset [prf, in mathcomp.analysis.function_spaces]
fatou [prf, in mathcomp.analysis.lebesgue_integral]
fcard_eq [prf, in mathcomp.classical.cardinality]
fct_ball_center [prf, in mathcomp.analysis.function_spaces]
fct_ball_sym [prf, in mathcomp.analysis.function_spaces]
fct_ball_triangle [prf, in mathcomp.analysis.function_spaces]
fct_ent_filter [prf, in mathcomp.analysis.function_spaces]
fct_ent_inv [prf, in mathcomp.analysis.function_spaces]
fct_ent_refl [prf, in mathcomp.analysis.function_spaces]
fct_ent_split [prf, in mathcomp.analysis.function_spaces]
fct_entourage [prf, in mathcomp.analysis.function_spaces]
fct_sumE [prf, in mathcomp.classical.functions]
fctD [prf, in mathcomp.analysis.lebesgue_integral]
fctM [prf, in mathcomp.analysis.lebesgue_integral]
fctN [prf, in mathcomp.analysis.lebesgue_integral]
fctZ [prf, in mathcomp.analysis.lebesgue_integral]
fcvg_ball [prf, in mathcomp.analysis.topology]
fcvg_ball2P [prf, in mathcomp.analysis.topology]
fcvg_ballP [prf, in mathcomp.analysis.topology]
fcvg_is_fine [prf, in mathcomp.analysis.normedtype]
fcvgr2dist_ltP [prf, in mathcomp.analysis.normedtype]
fcvgrPdist_lt [prf, in mathcomp.analysis.normedtype]
fdisjoint_cset [prf, in mathcomp.classical.classical_sets]
filter2P [prf, in mathcomp.analysis.topology]
filter_app [prf, in mathcomp.analysis.topology]
filter_app2 [prf, in mathcomp.analysis.topology]
filter_app3 [prf, in mathcomp.analysis.topology]
filter_bigI [prf, in mathcomp.analysis.topology]
filter_bigI_within [prf, in mathcomp.analysis.topology]
filter_const [prf, in mathcomp.analysis.topology]
filter_ex2 [prf, in mathcomp.analysis.topology]
filter_ex_subproof [prf, in mathcomp.analysis.topology]
filter_finI [prf, in mathcomp.analysis.topology]
filter_forall [prf, in mathcomp.analysis.topology]
filter_from_ballE [prf, in mathcomp.analysis.topology]
filter_from_entourageE [prf, in mathcomp.analysis.topology]
filter_from_filter [prf, in mathcomp.analysis.topology]
filter_from_norm_nbhs [prf, in mathcomp.analysis.normedtype]
filter_from_normE [prf, in mathcomp.analysis.normedtype]
filter_from_proper [prf, in mathcomp.analysis.topology]
filter_fromP [prf, in mathcomp.analysis.topology]
filter_fromT_filter [prf, in mathcomp.analysis.topology]
filter_fromTP [prf, in mathcomp.analysis.topology]
filter_getP [prf, in mathcomp.analysis.topology]
filter_image [prf, in mathcomp.analysis.topology]
filter_imply [prf, in mathcomp.analysis.topology]
filter_inv [prf, in mathcomp.analysis.topology]
filter_nbhsT [prf, in mathcomp.analysis.topology]
filter_near_of [prf, in mathcomp.analysis.topology]
filter_not_empty_ex [prf, in mathcomp.analysis.topology]
filter_of_nearI [prf, in mathcomp.analysis.topology]
filter_pair_near_of [prf, in mathcomp.analysis.topology]
filter_pair_set [prf, in mathcomp.analysis.topology]
filter_prod1 [prf, in mathcomp.analysis.topology]
filter_prod2 [prf, in mathcomp.analysis.topology]
filter_setT [prf, in mathcomp.analysis.topology]
filterE [prf, in mathcomp.analysis.topology]
filterI_iter_finI [prf, in mathcomp.analysis.topology]
filterI_iter_sub [prf, in mathcomp.analysis.topology]
filterI_iterE [prf, in mathcomp.analysis.topology]
filterN [prf, in mathcomp.analysis.topology]
filterP_strong [prf, in mathcomp.analysis.topology]
filterS2 [prf, in mathcomp.analysis.topology]
filterS3 [prf, in mathcomp.analysis.topology]
fimfun0 [prf, in mathcomp.classical.cardinality]
fimfun1 [prf, in mathcomp.analysis.numfun]
fimfun_cst [prf, in mathcomp.classical.cardinality]
fimfun_inP [prf, in mathcomp.classical.cardinality]
fimfun_mulr_closed [prf, in mathcomp.analysis.numfun]
fimfun_prod [prf, in mathcomp.analysis.numfun]
fimfun_rect [prf, in mathcomp.classical.cardinality]
fimfun_sum [prf, in mathcomp.classical.cardinality]
fimfun_valP [prf, in mathcomp.classical.cardinality]
fimfun_zmod_closed [prf, in mathcomp.classical.cardinality]
fimfunB [prf, in mathcomp.classical.cardinality]
fimfunD [prf, in mathcomp.classical.cardinality]
fimfunE [prf, in mathcomp.analysis.numfun]
fimfunEord [prf, in mathcomp.analysis.numfun]
fimfuneqP [prf, in mathcomp.classical.cardinality]
fimfunM [prf, in mathcomp.analysis.numfun]
fimfunN [prf, in mathcomp.classical.cardinality]
fimfunX [prf, in mathcomp.analysis.numfun]
fin_bigcap_measurable [prf, in mathcomp.analysis.measure]
fin_bigcup_closedP [prf, in mathcomp.analysis.measure]
fin_bigcup_measurable [prf, in mathcomp.analysis.measure]
fin_num_abs [prf, in mathcomp.analysis.constructive_ereal]
fin_num_adde_defl [prf, in mathcomp.analysis.constructive_ereal]
fin_num_adde_defr [prf, in mathcomp.analysis.constructive_ereal]
fin_num_fun_lty [prf, in mathcomp.analysis.measure]
fin_num_fun_sigma_finite [prf, in mathcomp.analysis.measure]
fin_num_key [prf, in mathcomp.analysis.constructive_ereal]
fin_num_oppeB [prf, in mathcomp.analysis.constructive_ereal]
fin_num_oppeD [prf, in mathcomp.analysis.constructive_ereal]
fin_num_poweR [prf, in mathcomp.analysis.exp]
fin_num_sume_distrr [prf, in mathcomp.analysis.constructive_ereal]
fin_num_sumeN [prf, in mathcomp.analysis.constructive_ereal]
fin_numB [prf, in mathcomp.analysis.constructive_ereal]
fin_numD [prf, in mathcomp.analysis.constructive_ereal]
fin_numE [prf, in mathcomp.analysis.constructive_ereal]
fin_numElt [prf, in mathcomp.analysis.constructive_ereal]
fin_numEn [prf, in mathcomp.analysis.constructive_ereal]
fin_numM [prf, in mathcomp.analysis.constructive_ereal]
fin_numN [prf, in mathcomp.analysis.constructive_ereal]
fin_numP [prf, in mathcomp.analysis.constructive_ereal]
fin_numPlt [prf, in mathcomp.analysis.constructive_ereal]
fin_numPn [prf, in mathcomp.analysis.constructive_ereal]
fin_numX [prf, in mathcomp.analysis.constructive_ereal]
fin_real [prf, in mathcomp.analysis.constructive_ereal]
fine0 [prf, in mathcomp.analysis.constructive_ereal]
fine1 [prf, in mathcomp.analysis.constructive_ereal]
fine_abse [prf, in mathcomp.analysis.constructive_ereal]
fine_cvg [prf, in mathcomp.analysis.normedtype]
fine_cvgP [prf, in mathcomp.analysis.normedtype]
fine_eq0 [prf, in mathcomp.analysis.constructive_ereal]
fine_expand [prf, in mathcomp.analysis.constructive_ereal]
fine_fcvg [prf, in mathcomp.analysis.normedtype]
fine_ge0 [prf, in mathcomp.analysis.constructive_ereal]
fine_gt0 [prf, in mathcomp.analysis.constructive_ereal]
fine_le [prf, in mathcomp.analysis.constructive_ereal]
fine_le0 [prf, in mathcomp.analysis.constructive_ereal]
fine_lt [prf, in mathcomp.analysis.constructive_ereal]
fine_lt0 [prf, in mathcomp.analysis.constructive_ereal]
fine_max [prf, in mathcomp.analysis.constructive_ereal]
fine_measurable [prf, in mathcomp.analysis.lebesgue_measure]
fine_min [prf, in mathcomp.analysis.constructive_ereal]
fine_neg_tv_nondecreasing [prf, in mathcomp.analysis.realfun]
fine_poweR [prf, in mathcomp.analysis.exp]
fine_snum_subproof [prf, in mathcomp.analysis.constructive_ereal]
fineB [prf, in mathcomp.analysis.constructive_ereal]
fineD [prf, in mathcomp.analysis.constructive_ereal]
fineK [prf, in mathcomp.analysis.constructive_ereal]
fineM [prf, in mathcomp.analysis.constructive_ereal]
fineN [prf, in mathcomp.analysis.constructive_ereal]
finI_filter [prf, in mathcomp.analysis.topology]
finI_from1 [prf, in mathcomp.analysis.topology]
finI_from_countable [prf, in mathcomp.analysis.topology]
finI_from_cover [prf, in mathcomp.analysis.topology]
finI_fromI [prf, in mathcomp.analysis.topology]
finite_card_dirac [prf, in mathcomp.analysis.measure]
finite_card_sum [prf, in mathcomp.analysis.measure]
finite_compact [prf, in mathcomp.analysis.topology]
finite_finpred [prf, in mathcomp.classical.cardinality]
finite_finset [prf, in mathcomp.classical.cardinality]
finite_fset [prf, in mathcomp.classical.cardinality]
finite_fsetP [prf, in mathcomp.classical.cardinality]
finite_II [prf, in mathcomp.classical.cardinality]
finite_image [prf, in mathcomp.classical.cardinality]
finite_image11 [prf, in mathcomp.classical.cardinality]
finite_image2 [prf, in mathcomp.classical.cardinality]
finite_image_cst [prf, in mathcomp.classical.cardinality]
finite_index_key [prf, in mathcomp.classical.fsbigop]
finite_kernel_measure [prf, in mathcomp.analysis.kernel]
finite_measure_integrable_cst [prf, in mathcomp.analysis.lebesgue_integral]
finite_preimage [prf, in mathcomp.classical.cardinality]
finite_seq [prf, in mathcomp.classical.cardinality]
finite_seqP [prf, in mathcomp.classical.cardinality]
finite_set0 [prf, in mathcomp.classical.cardinality]
finite_set1 [prf, in mathcomp.classical.cardinality]
finite_set2 [prf, in mathcomp.classical.cardinality]
finite_set3 [prf, in mathcomp.classical.cardinality]
finite_set4 [prf, in mathcomp.classical.cardinality]
finite_set5 [prf, in mathcomp.classical.cardinality]
finite_set6 [prf, in mathcomp.classical.cardinality]
finite_set7 [prf, in mathcomp.classical.cardinality]
finite_set_bij [prf, in mathcomp.classical.cardinality]
finite_set_countable [prf, in mathcomp.classical.cardinality]
finite_set_fst [prf, in mathcomp.classical.cardinality]
finite_set_leP [prf, in mathcomp.classical.cardinality]
finite_set_snd [prf, in mathcomp.classical.cardinality]
finite_setD [prf, in mathcomp.classical.cardinality]
finite_setI [prf, in mathcomp.classical.cardinality]
finite_setIl [prf, in mathcomp.classical.cardinality]
finite_setIr [prf, in mathcomp.classical.cardinality]
finite_setP [prf, in mathcomp.classical.cardinality]
finite_setPn [prf, in mathcomp.classical.cardinality]
finite_setU [prf, in mathcomp.classical.cardinality]
finite_setX [prf, in mathcomp.classical.cardinality]
finite_setXL [prf, in mathcomp.classical.cardinality]
finite_setXR [prf, in mathcomp.classical.cardinality]
finite_subfset [prf, in mathcomp.classical.cardinality]
finite_support_uniq [prf, in mathcomp.classical.fsbigop]
finite_supportP [prf, in mathcomp.classical.fsbigop]
finite_wlength_itv [prf, in mathcomp.analysis.lebesgue_stieltjes_measure]
finN0_bigcap_closedP [prf, in mathcomp.analysis.measure]
finset_valK [prf, in mathcomp.classical.functions]
floor_eq [prf, in mathcomp.classical.mathcomp_extra]
floor_ge0 [prf, in mathcomp.classical.mathcomp_extra]
floor_ge_int [prf, in mathcomp.classical.mathcomp_extra]
floor_le [prf, in mathcomp.analysis.reals]
floor_le0 [prf, in mathcomp.classical.mathcomp_extra]
floor_lt0 [prf, in mathcomp.classical.mathcomp_extra]
floor_lt_int [prf, in mathcomp.classical.mathcomp_extra]
floor_neq0 [prf, in mathcomp.classical.mathcomp_extra]
floorN [prf, in mathcomp.classical.mathcomp_extra]
fmap_comp [prf, in mathcomp.analysis.topology]
fmap_within_eq [prf, in mathcomp.analysis.topology]
fmapE [prf, in mathcomp.analysis.topology]
fmapiE [prf, in mathcomp.analysis.topology]
forall2NP [prf, in mathcomp.classical.boolp]
forall_asboolP [prf, in mathcomp.classical.boolp]
forall_sig [prf, in mathcomp.classical.classical_sets]
forall_swap [prf, in mathcomp.classical.boolp]
forallNE [prf, in mathcomp.classical.boolp]
forallNP [prf, in mathcomp.classical.boolp]
forallp_asboolPn [prf, in mathcomp.classical.boolp]
forallp_asboolPn2 [prf, in mathcomp.classical.boolp]
forallPNP [prf, in mathcomp.classical.boolp]
form0_eq0 [prf, in mathcomp.analysis.forms]
form0l [prf, in mathcomp.analysis.forms]
form0r [prf, in mathcomp.analysis.forms]
form_eq0C [prf, in mathcomp.analysis.forms]
form_eq0P [prf, in mathcomp.analysis.forms]
form_sign [prf, in mathcomp.analysis.forms]
formB [prf, in mathcomp.analysis.forms]
formBd [prf, in mathcomp.analysis.forms]
formC [prf, in mathcomp.analysis.forms]
formD [prf, in mathcomp.analysis.forms]
formDd [prf, in mathcomp.analysis.forms]
formDl [prf, in mathcomp.analysis.forms]
formDr [prf, in mathcomp.analysis.forms]
formee [prf, in mathcomp.analysis.forms]
formN [prf, in mathcomp.analysis.forms]
formNl [prf, in mathcomp.analysis.forms]
formNr [prf, in mathcomp.analysis.forms]
formZ [prf, in mathcomp.analysis.forms]
formZl [prf, in mathcomp.analysis.forms]
formZr [prf, in mathcomp.analysis.forms]
fsbig1 [prf, in mathcomp.classical.fsbigop]
fsbig_dflt [prf, in mathcomp.classical.fsbigop]
fsbig_distrr [prf, in mathcomp.classical.fsbigop]
fsbig_finite [prf, in mathcomp.classical.fsbigop]
fsbig_fwiden [prf, in mathcomp.classical.fsbigop]
fsbig_image [prf, in mathcomp.classical.fsbigop]
fsbig_mkcond [prf, in mathcomp.classical.fsbigop]
fsbig_mkcondl [prf, in mathcomp.classical.fsbigop]
fsbig_mkcondr [prf, in mathcomp.classical.fsbigop]
fsbig_ord [prf, in mathcomp.classical.fsbigop]
fsbig_seq [prf, in mathcomp.classical.fsbigop]
fsbig_set0 [prf, in mathcomp.classical.fsbigop]
fsbig_set1 [prf, in mathcomp.classical.fsbigop]
fsbig_setU [prf, in mathcomp.classical.fsbigop]
fsbig_setU_set1 [prf, in mathcomp.classical.fsbigop]
fsbig_split [prf, in mathcomp.classical.fsbigop]
fsbig_supp [prf, in mathcomp.classical.fsbigop]
fsbig_widen [prf, in mathcomp.classical.fsbigop]
fsbigD1 [prf, in mathcomp.classical.fsbigop]
fsbigE [prf, in mathcomp.classical.fsbigop]
fsbigID [prf, in mathcomp.classical.fsbigop]
fsbigN1 [prf, in mathcomp.classical.fsbigop]
fsbigTE [prf, in mathcomp.classical.fsbigop]
fsbigU [prf, in mathcomp.classical.fsbigop]
fsbigU0 [prf, in mathcomp.classical.fsbigop]
fset_nat_maximum [prf, in mathcomp.classical.mathcomp_extra]
fset_set0 [prf, in mathcomp.classical.cardinality]
fset_set1 [prf, in mathcomp.classical.cardinality]
fset_set_comp [prf, in mathcomp.classical.cardinality]
fset_set_II [prf, in mathcomp.classical.cardinality]
fset_set_image [prf, in mathcomp.classical.cardinality]
fset_set_inj [prf, in mathcomp.classical.cardinality]
fset_set_set0 [prf, in mathcomp.classical.cardinality]
fset_set_sub [prf, in mathcomp.classical.cardinality]
fset_setD [prf, in mathcomp.classical.cardinality]
fset_setD1 [prf, in mathcomp.classical.cardinality]
fset_setI [prf, in mathcomp.classical.cardinality]
fset_setK [prf, in mathcomp.classical.cardinality]
fset_setU [prf, in mathcomp.classical.cardinality]
fset_setU1 [prf, in mathcomp.classical.cardinality]
fset_setX [prf, in mathcomp.classical.cardinality]
fset_subset_countable [prf, in mathcomp.classical.cardinality]
fsets0 [prf, in mathcomp.analysis.esum]
fsets_self [prf, in mathcomp.analysis.esum]
fsets_set0 [prf, in mathcomp.analysis.esum]
fst_open [prf, in mathcomp.analysis.topology]
fst_set_fst [prf, in mathcomp.classical.classical_sets]
fst_setX [prf, in mathcomp.classical.classical_sets]
fst_setXR [prf, in mathcomp.classical.classical_sets]
fsume_ge0 [prf, in mathcomp.analysis.ereal]
fsume_gt0 [prf, in mathcomp.analysis.ereal]
fsume_le0 [prf, in mathcomp.analysis.ereal]
fsume_lt0 [prf, in mathcomp.analysis.ereal]
fsumEFin [prf, in mathcomp.analysis.ereal]
fsumr_ge0 [prf, in mathcomp.classical.fsbigop]
fsumr_gt0 [prf, in mathcomp.classical.fsbigop]
fsumr_le0 [prf, in mathcomp.classical.fsbigop]
fsumr_lt0 [prf, in mathcomp.classical.fsbigop]
FTC1 [prf, in mathcomp.analysis.ftc]
FTC1_lebesgue_pt [prf, in mathcomp.analysis.ftc]
FTC1Ny [prf, in mathcomp.analysis.ftc]
Fubini [prf, in mathcomp.analysis.lebesgue_integral]
fubini1 [prf, in mathcomp.analysis.lebesgue_integral]
fubini1a [prf, in mathcomp.analysis.lebesgue_integral]
fubini1b [prf, in mathcomp.analysis.lebesgue_integral]
fubini2 [prf, in mathcomp.analysis.lebesgue_integral]
fubini_tonelli [prf, in mathcomp.analysis.lebesgue_integral]
fubini_tonelli1 [prf, in mathcomp.analysis.lebesgue_integral]
fubini_tonelli2 [prf, in mathcomp.analysis.lebesgue_integral]
full_fsbig_distrr [prf, in mathcomp.classical.fsbigop]
fun_complete [prf, in mathcomp.analysis.function_spaces]
fun_false [prf, in mathcomp.classical.classical_sets]
fun_of_rel_uniq [prf, in mathcomp.classical.classical_sets]
fun_of_relP [prf, in mathcomp.classical.classical_sets]
fun_true [prf, in mathcomp.classical.classical_sets]
fune_abse [prf, in mathcomp.analysis.numfun]
funeD_Dpos [prf, in mathcomp.analysis.numfun]
funeD_posD [prf, in mathcomp.analysis.numfun]
funeneg_ge0 [prf, in mathcomp.analysis.numfun]
funeneg_le [prf, in mathcomp.analysis.numfun]
funeneg_restrict [prf, in mathcomp.analysis.numfun]
funenegN [prf, in mathcomp.analysis.numfun]
funepos_ge0 [prf, in mathcomp.analysis.numfun]
funepos_le [prf, in mathcomp.analysis.numfun]
funepos_restrict [prf, in mathcomp.analysis.numfun]
funeposN [prf, in mathcomp.analysis.numfun]
funeposneg [prf, in mathcomp.analysis.numfun]
funeq2E [prf, in mathcomp.classical.boolp]
funeq2P [prf, in mathcomp.classical.boolp]
funeq3E [prf, in mathcomp.classical.boolp]
funeq3P [prf, in mathcomp.classical.boolp]
funeqE [prf, in mathcomp.classical.boolp]
funeqP [prf, in mathcomp.classical.boolp]
funext [prf, in mathcomp.classical.boolp]
funID [prf, in mathcomp.analysis.ereal]
funK [prf, in mathcomp.classical.functions]
FunOrder.fun_display [prf, in mathcomp.classical.boolp]
FunOrder.joinfA [prf, in mathcomp.classical.boolp]
FunOrder.joinfC [prf, in mathcomp.classical.boolp]
FunOrder.joinfKI [prf, in mathcomp.classical.boolp]
FunOrder.lef_anti [prf, in mathcomp.classical.boolp]
FunOrder.lef_meet [prf, in mathcomp.classical.boolp]
FunOrder.lef_refl [prf, in mathcomp.classical.boolp]
FunOrder.lef_trans [prf, in mathcomp.classical.boolp]
FunOrder.ltf_def [prf, in mathcomp.classical.boolp]
FunOrder.meetfA [prf, in mathcomp.classical.boolp]
FunOrder.meetfC [prf, in mathcomp.classical.boolp]
FunOrder.meetfKU [prf, in mathcomp.classical.boolp]
funP [prf, in mathcomp.classical.functions]
funPinj [prf, in mathcomp.classical.functions]
funpPinj_ [prf, in mathcomp.classical.functions]
funPsplitinj [prf, in mathcomp.classical.functions]
funPsplitsurj [prf, in mathcomp.classical.functions]
funPsurj [prf, in mathcomp.classical.functions]