Documentation Verification Report

Even

πŸ“ Source: Mathlib/Algebra/Group/Nat/Even.lean

Statistics

MetricCount
DefinitionsinstDecidablePredEven, instDecidablePredIsSquare
2
Theoremsadd_one_lt_of_even, div_two_mul_two_of_even, even_add, even_add_one, even_iff, even_mul, even_mul_pred_self, even_mul_succ_self, even_pow, even_pow', even_sub, not_even_iff, not_even_one, one_lt_of_ne_zero_of_even, succ_mod_two_eq_one_iff, succ_mod_two_eq_zero_iff, two_dvd_ne_zero, two_mul_div_two_of_even, two_not_dvd_two_mul_add_one, two_not_dvd_two_mul_sub_one
20
Total22

Nat

Definitions

NameCategoryTheorems
instDecidablePredEven πŸ“–CompOp
28 mathmath: neg_one_pow_eq_ite, IsCyclotomicExtension.Rat.torsionOrder_eq, WeierstrassCurve.coeff_preΨ', geom_sum_alternating_of_le_neg_one, Fin.sum_neg_one_pow, WeierstrassCurve.leadingCoeff_preΨ', hyperoperation_ge_four_zero, WeierstrassCurve.ΨSq_ofNat, WeierstrassCurve.Ψ_ofNat, preNormEDS'_odd, schnirelmannDensity_setOf_even, CoxeterSystem.getElem_alternatingWord, AlternatingGroup.card_of_cycleType, WeierstrassCurve.Φ_ofNat, WeierstrassCurve.preΨ'_odd, geom_sum_alternating_of_lt_neg_one, neg_one_geom_sum, CoxeterSystem.prod_alternatingWord_eq_mul_pow, HomologicalComplex.alternatingConst_d, CoxeterSystem.listTake_alternatingWord, CoxeterSystem.alternatingWord_succ', WeierstrassCurve.natDegree_preΨ', normEDS_ofNat, WeierstrassCurve.natDegree_preΨ'_le, Polynomial.coeff_hermite, List.IsChain.two_mul_count_bool_eq_ite, AlternatingGroup.map_subtype_of_cycleType, AlternatingGroup.card_of_cycleType_mul_eq
instDecidablePredIsSquare πŸ“–CompOpβ€”

Theorems

NameKindAssumesProvesValidatesDepends On
add_one_lt_of_even πŸ“–β€”Evenβ€”β€”β€”
div_two_mul_two_of_even πŸ“–β€”Evenβ€”β€”even_iff_exists_two_nsmul
even_add πŸ“–mathematicalβ€”Evenβ€”β€”
even_add_one πŸ“–mathematicalβ€”Evenβ€”β€”
even_iff πŸ“–mathematicalβ€”Evenβ€”β€”
even_mul πŸ“–mathematicalβ€”Evenβ€”mul_one
one_mul
even_mul_pred_self πŸ“–mathematicalβ€”Evenβ€”β€”
even_mul_succ_self πŸ“–mathematicalβ€”Evenβ€”β€”
even_pow πŸ“–mathematicalβ€”Even
Monoid.toNatPow
instMonoid
β€”β€”
even_pow' πŸ“–mathematicalβ€”Even
Monoid.toNatPow
instMonoid
β€”β€”
even_sub πŸ“–mathematicalβ€”Evenβ€”β€”
not_even_iff πŸ“–mathematicalβ€”Evenβ€”β€”
not_even_one πŸ“–mathematicalβ€”Evenβ€”β€”
one_lt_of_ne_zero_of_even πŸ“–β€”Evenβ€”β€”β€”
succ_mod_two_eq_one_iff πŸ“–β€”β€”β€”β€”β€”
succ_mod_two_eq_zero_iff πŸ“–β€”β€”β€”β€”β€”
two_dvd_ne_zero πŸ“–β€”β€”β€”β€”β€”
two_mul_div_two_of_even πŸ“–β€”Evenβ€”β€”even_iff_exists_two_nsmul
two_not_dvd_two_mul_add_one πŸ“–β€”β€”β€”β€”β€”
two_not_dvd_two_mul_sub_one πŸ“–β€”β€”β€”β€”β€”

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