Documentation Verification Report

Lib

πŸ“ Source: ProofsWithLean/Lib.lean

Statistics

MetricCount
DefinitionsHasParity, isEven, isOdd, Subset, hasSubset, borne_inf, borne_sup, bounds_above, commandSetup_env, croissante, decroissante, delabFct, delabLamWithTypes, delabMax, delabMin, delabSuite, divise_gcd_si, divise_gcd_ssi, divise_si_divise_gcd, divise_si_divise_left, divise_si_divise_right, est_borne_inf, est_borne_sup, extraction, gcd_divise_left, gcd_divise_right, injective, instHasParityForallReal, instHasParityInt, limite_infinie_suite, limite_suite, minorant, suite_cauchy, surjective, tacticVerifie, termPrΓ©dicatSur_, termStatement, term_BoundsFromAbove_, term_BoundsFromBelow_, term_IsAClusterPointOf_, term_IsAnExtraction, term_IsCauchy, term_IsEven, term_IsInjective, term_IsOdd, term_IsSurjective, term_IsTheInfimumOf_, term_IsTheInfimumOf__1, term_IsTheSupremumOf_, term_IsTheSupremumOf__1, term_TendsTo_, valAdhDelab, valeur_adherence, Β«termFct_↦_Β», Β«termSuite_↦_Β», Β«term_IsNon-decreasingΒ», Β«term_IsNon-increasingΒ», Β«term_TendsTo+∞»
58
Theoremsinferieur_add_droite, inferieur_add_gauche, inferieur_mul_droite, inferieur_mul_gauche, inferieur_simpl_droite, inferieur_simpl_gauche, abs_diff, abs_inferieur_ssi, abs_plus, divise_antisym, divise_def, divise_refl, egal_si_abs_diff_neg, egal_si_abs_eps, ex_mul_of_dvd, ex_mul_of_dvd', extraction_machine, extraction_superieur_id, ineg_triangle, ineg_triangle', ineg_triangle'', inferieur_max_droite, inferieur_max_gauche, le_antisymm', le_le_of_abs_le', le_of_abs_le', carre_pos, diff_neg_inferieur, diff_pos_inferieur, inferieur_diff_neg, inferieur_diff_pos, inferieur_ssi, inferieur_ssi', neg_neg, pos_pos, unicite_limite, non_pair_et_impair, non_zero_abs_pos, pair_ou_impair, pos_abs, superieur_max_ssi
41
Total99

HasParity

Definitions

NameCategoryTheorems
isEven πŸ“–MathDef
2 mathmath: pair_ou_impair, non_pair_et_impair
isOdd πŸ“–MathDef
2 mathmath: pair_ou_impair, non_pair_et_impair

M154

Theorems

NameKindAssumesProvesValidatesDepends On
inferieur_add_droite πŸ“–β€”β€”β€”β€”β€”
inferieur_add_gauche πŸ“–β€”β€”β€”β€”β€”
inferieur_mul_droite πŸ“–β€”β€”β€”β€”β€”
inferieur_mul_gauche πŸ“–β€”β€”β€”β€”β€”
inferieur_simpl_droite πŸ“–β€”β€”β€”β€”β€”
inferieur_simpl_gauche πŸ“–β€”β€”β€”β€”β€”

Verbose.English

Definitions

NameCategoryTheorems
Subset πŸ“–MathDefβ€”
hasSubset πŸ“–CompOpβ€”

(root)

Definitions

NameCategoryTheorems
HasParity πŸ“–CompDataβ€”
borne_inf πŸ“–MathDefβ€”
borne_sup πŸ“–MathDefβ€”
bounds_above πŸ“–MathDefβ€”
commandSetup_env πŸ“–CompOpβ€”
croissante πŸ“–MathDefβ€”
decroissante πŸ“–MathDefβ€”
delabFct πŸ“–CompOpβ€”
delabLamWithTypes πŸ“–CompOpβ€”
delabMax πŸ“–CompOpβ€”
delabMin πŸ“–CompOpβ€”
delabSuite πŸ“–CompOpβ€”
divise_gcd_si πŸ“–MathAbβ€”
divise_gcd_ssi πŸ“–MathAbβ€”
divise_si_divise_gcd πŸ“–MathAbβ€”
divise_si_divise_left πŸ“–MathAbβ€”
divise_si_divise_right πŸ“–MathAbβ€”
est_borne_inf πŸ“–MathDefβ€”
est_borne_sup πŸ“–MathDefβ€”
extraction πŸ“–MathDef
1 mathmath: extraction_machine
gcd_divise_left πŸ“–MathAbβ€”
gcd_divise_right πŸ“–MathAbβ€”
injective πŸ“–MathDefβ€”
instHasParityForallReal πŸ“–CompOpβ€”
instHasParityInt πŸ“–CompOp
2 mathmath: pair_ou_impair, non_pair_et_impair
limite_infinie_suite πŸ“–MathDefβ€”
limite_suite πŸ“–MathDefβ€”
minorant πŸ“–MathDefβ€”
suite_cauchy πŸ“–MathDefβ€”
surjective πŸ“–MathDefβ€”
tacticVerifie πŸ“–CompOpβ€”
termPrΓ©dicatSur_ πŸ“–CompOpβ€”
termStatement πŸ“–CompOpβ€”
term_BoundsFromAbove_ πŸ“–CompOpβ€”
term_BoundsFromBelow_ πŸ“–CompOpβ€”
term_IsAClusterPointOf_ πŸ“–CompOpβ€”
term_IsAnExtraction πŸ“–CompOpβ€”
term_IsCauchy πŸ“–CompOpβ€”
term_IsEven πŸ“–CompOpβ€”
term_IsInjective πŸ“–CompOpβ€”
term_IsOdd πŸ“–CompOpβ€”
term_IsSurjective πŸ“–CompOpβ€”
term_IsTheInfimumOf_ πŸ“–CompOpβ€”
term_IsTheInfimumOf__1 πŸ“–CompOpβ€”
term_IsTheSupremumOf_ πŸ“–CompOpβ€”
term_IsTheSupremumOf__1 πŸ“–CompOpβ€”
term_TendsTo_ πŸ“–CompOpβ€”
valAdhDelab πŸ“–CompOpβ€”
valeur_adherence πŸ“–MathDefβ€”
Β«termFct_↦_Β» πŸ“–CompOpβ€”
Β«termSuite_↦_Β» πŸ“–CompOpβ€”
Β«term_IsNon-decreasingΒ» πŸ“–CompOpβ€”
Β«term_IsNon-increasingΒ» πŸ“–CompOpβ€”
Β«term_TendsTo+∞» πŸ“–CompOpβ€”

Theorems

NameKindAssumesProvesValidatesDepends On
abs_diff πŸ“–β€”β€”β€”β€”β€”
abs_inferieur_ssi πŸ“–β€”β€”β€”β€”β€”
abs_plus πŸ“–β€”β€”β€”β€”β€”
divise_antisym πŸ“–β€”β€”β€”β€”β€”
divise_def πŸ“–β€”β€”β€”β€”β€”
divise_refl πŸ“–β€”β€”β€”β€”β€”
egal_si_abs_diff_neg πŸ“–β€”β€”β€”β€”β€”
egal_si_abs_eps πŸ“–β€”β€”β€”β€”egal_si_abs_diff_neg
ex_mul_of_dvd πŸ“–β€”β€”β€”β€”β€”
ex_mul_of_dvd' πŸ“–β€”β€”β€”β€”β€”
extraction_machine πŸ“–mathematicalβ€”extractionβ€”β€”
extraction_superieur_id πŸ“–β€”extractionβ€”β€”β€”
ineg_triangle πŸ“–β€”β€”β€”β€”β€”
ineg_triangle' πŸ“–β€”β€”β€”β€”abs_diff
ineg_triangle'' πŸ“–β€”β€”β€”β€”abs_diff
inferieur_max_droite πŸ“–β€”β€”β€”β€”β€”
inferieur_max_gauche πŸ“–β€”β€”β€”β€”β€”
le_antisymm' πŸ“–β€”β€”β€”β€”β€”
le_le_of_abs_le' πŸ“–β€”β€”β€”β€”β€”
le_of_abs_le' πŸ“–β€”β€”β€”β€”β€”
non_pair_et_impair πŸ“–mathematicalβ€”HasParity.isEven
instHasParityInt
HasParity.isOdd
β€”β€”
non_zero_abs_pos πŸ“–β€”β€”β€”β€”β€”
pair_ou_impair πŸ“–mathematicalβ€”HasParity.isEven
instHasParityInt
HasParity.isOdd
β€”β€”
pos_abs πŸ“–β€”β€”β€”β€”β€”
superieur_max_ssi πŸ“–β€”β€”β€”β€”β€”

m154

Theorems

NameKindAssumesProvesValidatesDepends On
carre_pos πŸ“–β€”β€”β€”β€”β€”
diff_neg_inferieur πŸ“–β€”β€”β€”β€”β€”
diff_pos_inferieur πŸ“–β€”β€”β€”β€”β€”
inferieur_diff_neg πŸ“–β€”β€”β€”β€”β€”
inferieur_diff_pos πŸ“–β€”β€”β€”β€”β€”
inferieur_ssi πŸ“–β€”β€”β€”β€”β€”
inferieur_ssi' πŸ“–β€”β€”β€”β€”inferieur_ssi
neg_neg πŸ“–β€”β€”β€”β€”β€”
pos_pos πŸ“–β€”β€”β€”β€”β€”
unicite_limite πŸ“–β€”limite_suiteβ€”β€”egal_si_abs_eps
ineg_triangle''
inferieur_max_gauche
inferieur_max_droite

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