Documentation Verification Report

MaxPowDiv

📁 Source: Mathlib/Data/Nat/MaxPowDiv.lean

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MetricCount
DefinitionsdivMaxPow, maxPowDiv, maxPowDvdDiv, go, padicValNat
5
TheoremsdivMaxPow_base_mul, divMaxPow_base_pow, divMaxPow_base_pow_mul, divMaxPow_mul_pow_padicValNat, divMaxPow_one_left, divMaxPow_one_right, divMaxPow_self, divMaxPow_zero_left, divMaxPow_zero_right, fst_maxPowDvdDiv, base_mul_eq_succ, base_pow_mul, le_of_dvd, pow_dvd, zero, zero_base, go_spec, maxPowDvdDiv_base_mul, maxPowDvdDiv_base_pow, maxPowDvdDiv_base_pow_mul, maxPowDvdDiv_of_base_le_one, maxPowDvdDiv_of_not_dvd, maxPowDvdDiv_of_pow_mul_eq, maxPowDvdDiv_one_left, maxPowDvdDiv_one_right, maxPowDvdDiv_self, maxPowDvdDiv_zero_left, maxPowDvdDiv_zero_right, not_dvd_divMaxPow, pow_dvd_iff_le_padicValNat, pow_padicValNat_mul_divMaxPow, snd_maxPowDvdDiv, padicValNat_base, padicValNat_base_mul, padicValNat_base_pow, padicValNat_base_pow_mul, padicValNat_one_left, padicValNat_one_right, padicValNat_zero_left, padicValNat_zero_right, pow_padicValNat_dvd
41
Total46

Nat

Definitions

NameCategoryTheorems
divMaxPow 📖CompOp
14 mathmath: not_dvd_divMaxPow, maxPowDvdDiv_base_mul, maxPowDvdDiv_base_pow_mul, divMaxPow_base_pow, divMaxPow_zero_right, divMaxPow_zero_left, divMaxPow_mul_pow_padicValNat, divMaxPow_self, divMaxPow_base_pow_mul, divMaxPow_one_left, divMaxPow_one_right, pow_padicValNat_mul_divMaxPow, divMaxPow_base_mul, snd_maxPowDvdDiv
maxPowDiv 📖CompOp
maxPowDvdDiv 📖CompOp
13 mathmath: maxPowDvdDiv_of_not_dvd, maxPowDvdDiv_base_pow, maxPowDvdDiv_zero_left, maxPowDvdDiv_base_mul, maxPowDvdDiv_base_pow_mul, maxPowDvdDiv_self, fst_maxPowDvdDiv, maxPowDvdDiv_of_base_le_one, maxPowDvdDiv_one_left, maxPowDvdDiv_zero_right, maxPowDvdDiv_one_right, snd_maxPowDvdDiv, maxPowDvdDiv_of_pow_mul_eq

Theorems

NameKindAssumesProvesValidatesDepends On
divMaxPow_base_mul 📖mathematicaldivMaxPowdivMaxPow_base_pow_mul
divMaxPow_base_pow 📖mathematicaldivMaxPowdivMaxPow_one_left
divMaxPow_base_pow_mul
divMaxPow_base_pow_mul 📖mathematicaldivMaxPowdivMaxPow_one_right
eq_or_ne
maxPowDvdDiv_zero_right
maxPowDvdDiv_base_pow_mul
divMaxPow_mul_pow_padicValNat 📖mathematicaldivMaxPow
padicValNat
maxPowDvdDiv.fun_cases_unfolding
maxPowDvdDiv.go_spec
divMaxPow_one_left 📖mathematicaldivMaxPowmaxPowDvdDiv_one_right
divMaxPow_one_right 📖mathematicaldivMaxPowmaxPowDvdDiv_one_left
divMaxPow_self 📖mathematicaldivMaxPowdivMaxPow_base_pow
divMaxPow_zero_left 📖mathematicaldivMaxPowmaxPowDvdDiv_zero_right
divMaxPow_zero_right 📖mathematicaldivMaxPowmaxPowDvdDiv_zero_left
fst_maxPowDvdDiv 📖mathematicalmaxPowDvdDiv
padicValNat
maxPowDvdDiv_base_mul 📖mathematicalmaxPowDvdDiv
padicValNat
divMaxPow
maxPowDvdDiv_base_pow_mul
maxPowDvdDiv_base_pow 📖mathematicalmaxPowDvdDivpadicValNat_one_right
divMaxPow_one_left
maxPowDvdDiv_base_pow_mul
maxPowDvdDiv_base_pow_mul 📖mathematicalmaxPowDvdDiv
padicValNat
divMaxPow
maxPowDvdDiv_of_pow_mul_eq
pow_padicValNat_mul_divMaxPow
not_dvd_divMaxPow
maxPowDvdDiv_of_base_le_one 📖mathematicalmaxPowDvdDiv
maxPowDvdDiv_of_not_dvd 📖mathematicalmaxPowDvdDivmaxPowDvdDiv.go.eq_1
Iff.not
maxPowDvdDiv_of_pow_mul_eq 📖mathematicalmaxPowDvdDivmaxPowDvdDiv_zero_left
padicValNat.eq_1
pow_dvd_iff_le_padicValNat
pow_padicValNat_mul_divMaxPow
maxPowDvdDiv_one_left 📖mathematicalmaxPowDvdDivmaxPowDvdDiv_of_base_le_one
maxPowDvdDiv_one_right 📖mathematicalmaxPowDvdDiveq_or_ne
maxPowDvdDiv_one_left
maxPowDvdDiv_of_not_dvd
maxPowDvdDiv_self 📖mathematicalmaxPowDvdDivmaxPowDvdDiv_base_pow
maxPowDvdDiv_zero_left 📖mathematicalmaxPowDvdDivmaxPowDvdDiv_of_base_le_one
maxPowDvdDiv_zero_right 📖mathematicalmaxPowDvdDiv
not_dvd_divMaxPow 📖mathematicaldivMaxPow
pow_dvd_iff_le_padicValNat 📖mathematicalpadicValNatpadicValNat_zero_left
pow_padicValNat_mul_divMaxPow
not_dvd_divMaxPow
pow_padicValNat_mul_divMaxPow 📖mathematicalpadicValNat
divMaxPow
divMaxPow_mul_pow_padicValNat
snd_maxPowDvdDiv 📖mathematicalmaxPowDvdDiv
divMaxPow

Nat.maxPowDiv

Theorems

NameKindAssumesProvesValidatesDepends On
base_mul_eq_succ 📖mathematicalpadicValNatpadicValNat_base_mul
base_pow_mul 📖mathematicalpadicValNatpadicValNat_base_pow_mul
le_of_dvd 📖padicValNatNat.pow_dvd_iff_le_padicValNat
pow_dvd 📖mathematicalpadicValNatpow_padicValNat_dvd
zero 📖mathematicalpadicValNatpadicValNat_zero_right
zero_base 📖mathematicalpadicValNatpadicValNat_zero_left

Nat.maxPowDvdDiv

Definitions

NameCategoryTheorems
go 📖CompOp
1 mathmath: go_spec

Theorems

NameKindAssumesProvesValidatesDepends On
go_spec 📖mathematicalgogo.induct_unfolding

(root)

Definitions

NameCategoryTheorems
padicValNat 📖CompOp
85 mathmath: padicValNat_dvd_iff_of_ne_one, padicValNat_base_pow_mul, padicValNat.maxPowDiv_eq_multiplicity, Nat.toNat_emultiplicity, padicValNat_add_le_self, pow_succ_padicValNat_not_dvd, Nat.max_log_padicValNat_succ_eq_log_succ, padicValNat.eq_zero_iff, sub_one_mul_padicValNat_factorial, padicValNat.pow_two_sub_one_ge, sub_one_mul_padicValNat_choose_eq_sub_sum_digits, Nat.maxPowDiv.zero_base, padicValNat_dvd_iff, padicValNat.one, padicValNat_mul_div_factorial, padicValNat_prime_prime_pow, sub_one_mul_padicValNat_choose_eq_sub_sum_digits', padicValNat.zero, one_le_padicValNat_of_dvd, padicValNat.pow_sub_pow, padicValNat.pow, padicValNat_choose', padicValNat_base, Nat.maxPowDvdDiv_base_mul, Nat.maxPowDiv.pow_dvd, padicValNat_base_mul, Nat.maxPowDvdDiv_base_pow_mul, Nat.pow_dvd_iff_le_padicValNat, Nat.eq_sq_add_sq_iff, Padic.valuation_ofNat, padicValNat_one_left, Nat.divMaxPow_mul_pow_padicValNat, Nat.prod_pow_prime_padicValNat, padicValNat.pow_add_pow, padicValNat_factorial_le, Nat.maxPowDiv.zero, padicValNat_def, padicValNat_zero_left, padicValNat.self, padicValNat_self, sub_one_mul_padicValNat_factorial_lt_of_ne_zero, padicValNat.prime_pow, Nat.fst_maxPowDvdDiv, pow_padicValNat_dvd, le_padicValNat_iff_replicate_subperm_primeFactorsList, padicValNat_base_pow, padicValNat_primes, padicValNat_choose, padicValNat_factorial, Nat.maxPowDiv.base_mul_eq_succ, padicValNat.div_of_dvd, Nat.eq_iff_prime_padicValNat_eq, padicValNat.div_pow, padicValNat_one_right, padicValRat_def, padicValNat_def', padicValRat.of_nat, padicValNat.mul, padicValNat_zero_right, padicValNat_dvd_iff_le_of_ne_one, padicValNat_eq_emultiplicity_of_ne_one, nat_log_eq_padicValNat_iff, padicValNat.pow_two_sub_pow, padicValNat_factorial_lt_of_ne_zero, padicValInt.of_nat, Nat.factorization_def, padicValRat_of_nat, padicValNat.eq_zero_of_not_dvd, padicValNat.div', padicValNat_mul_pow_left, Nat.pow_padicValNat_mul_divMaxPow, Padic.valuation_natCast, padicValNat.pow_two_sub_one, padicValNat_dvd_iff_le, Nat.maxPowDiv.base_pow_mul, padicValNat_eq_zero_of_mem_Ioo, range_pow_padicValNat_subset_divisors', padicValNat_factorial_mul_add, padicValNat.div, padicValNat_factorial_mul, padicValNat_mul_pow_right, padicValNat.maxPowDiv_eq_emultiplicity, range_pow_padicValNat_subset_divisors, padicValNat_le_nat_log, padicValNat_eq_emultiplicity

Theorems

NameKindAssumesProvesValidatesDepends On
padicValNat_base 📖mathematicalpadicValNatpadicValNat_base_pow
padicValNat_base_mul 📖mathematicalpadicValNatNat.maxPowDvdDiv_base_mul
padicValNat_base_pow 📖mathematicalpadicValNatNat.maxPowDvdDiv_base_pow
padicValNat_base_pow_mul 📖mathematicalpadicValNatNat.maxPowDvdDiv_base_pow_mul
padicValNat_one_left 📖mathematicalpadicValNatNat.maxPowDvdDiv_one_left
padicValNat_one_right 📖mathematicalpadicValNatNat.maxPowDvdDiv_one_right
padicValNat_zero_left 📖mathematicalpadicValNatNat.maxPowDvdDiv_zero_left
padicValNat_zero_right 📖mathematicalpadicValNatNat.maxPowDvdDiv_zero_right
pow_padicValNat_dvd 📖mathematicalpadicValNatNat.pow_padicValNat_mul_divMaxPow

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