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Equity (Details) - USD ($) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1 Months Ended | 12 Months Ended |  |  |  |  |  |
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Sep. 02, 2025 | Jun. 13, 2025 | Jan. 13, 2025 | Jan. 06, 2025 | Jun. 19, 2024 | Jun. 13, 2024 | Jan. 05, 2024 | Oct. 25, 2023 | Aug. 28, 2023 | Jul. 06, 2022 | Jun. 14, 2022 | Jun. 13, 2022 | Feb. 01, 2022 | Jan. 31, 2022 | Aug. 24, 2021 | Aug. 19, 2021 | Jun. 01, 2021 | Jan. 31, 2023 | Jul. 31, 2025 | Jul. 31, 2024 | Dec. 31, 2003 | Mar. 25, 2025 | Dec. 23, 2024 | Apr. 14, 2023 | Nov. 28, 2022 | Jan. 19, 2022 | May 27, 2021
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 12,998,194 | 3,968,254 |  |  |  |
Issuance of shares (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 98,000,000 |  |  |  |  |  |  |  |  |  |  |
Deducting transaction costs (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 6,200,000 |  |  |  |  |  |  |  |  |  |  |
Aggregate sale price (in Dollars) |  |  |  |  |  |  |  |  |  | $ 6,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Term period |  |  |  |  |  |  |  |  |  |  |  | 5 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, value (in Dollars) |  |  |  |  |  |  |  |  |  |  |  | $ 600,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Annual base salary expenses (in Dollars) |  |  |  |  | $ 294,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Recognized compensation period |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 3 years 8 months 12 days |  |  |  |  |  |  |  |
Weighted average fair value per share of stock options granted (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1.5 |  |  |  |  |  |  |  |
Options outstanding with a weighted average exercise price (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 6.65 | $ 9.55 |  |  |  |  |  |  |
Options outstanding granted |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,004,341 |  |  |  |  |  |  |  |
Purchase of options |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 472,000 |  |  |  |  |  |  |  |
Purchase shares of common stock (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.005 |  |  | $ 0.72 |  |  |  |  |
Options share |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 625,000 |  |  |  |  |  |
Restructuring percentage |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 10.00% |  |  |  |  |  |  |  |
Percentage of RPF top-up shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 6.00% |  |  |  |  |  |  |  |
Purchase of Warrants |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,087,100 |  |  |  |  |  |  |  |
Restricted shares |  |  |  |  |  |  |  |  |  |  |  |  |  | 33,360 |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based compensation cost (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 2,123,000 | $ 2,296,000 |  |  |  |  |  |  |
Restricted stock shares issued |  |  |  |  |  |  |  |  |  |  | 452,130 |  | 986,835 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted shares percentage |  |  |  |  |  |  |  |  |  |  |  |  | 24.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |
Rafael Medical Devices, LLC [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total unrecognized compensation cost (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 106,000 |  |  |  |  |  |  |  |
Recognized compensation period |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 2 years |  |  |  |  |  |  |  |
Stock Options [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total unrecognized compensation cost (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 900,000 |  |  |  |  |  |  |  |
Recognized compensation period |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 3 years 6 months |  |  |  |  |  |  |  |
Cornerstone Common Options [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average exercise price (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 24.17 |  |  |  |  |  |  |  |
Weighted average remaining contractual term |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 4 years 4 months 24 days |  |  |  |  |  |  |  |
Non-Employee Directors [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted shares |  |  |  |  |  |  |  |  |  |  |  |  |  | 18,336 |  |  |  |  |  |  |  |  |  |  |  |  |
Board of Directors [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted stock shares issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 120,019 |  |  |  |  |  |  |  |  |
Chief Financial Officer [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted stock shares issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100,000 |  |  |  |  |  |  |  |  |
Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued | 99,429 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Class B Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repurchase the authorizing shares (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5,000,000 |  |  |
Price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  | $ 1.86 |  |  |  |  | $ 0.01 |  |  |  | $ 0.25 |  |  |  |  | $ 1.75 |  |  |
Repurchased shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 101,487 |  |  |  |  |  |  |  |
Repurchased cost (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 168,000 |  |  |  |  |  |  |  |
Sale of common stock (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 250,000,000
Sale of stock issued |  |  |  |  |  |  |  |  |  | 3,225,806 |  |  |  |  |  |  | 48,859 |  |  |  |  |  |  |  |  |  |
Shares issued |  |  | 270,000 | 84,918 |  |  |  |  |  |  |  |  |  |  | 2,833,425 |  |  |  |  |  |  |  |  |  |  |  |
Purchase price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 35 |  |  |  |  |  |  |  |  |  |  |  |
Gross proceeds (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 99,200,000 |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 112,501 |  |  | 50,789,697 | 24,142,535 |  |  |  |  |  |  |
Share per price (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 44.42 |  |  |  |  |  |  |  |  |  |  |
Issuance of shares (in Dollars) |  |  |  |  | $ 250,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Annual base salary (in Dollars) |  |  |  |  |  |  |  |  |  |  |  | 260,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted shares (in Dollars) |  |  |  |  |  |  |  |  |  |  |  | $ 250,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Options outstanding with a weighted average exercise price (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 618,702 |  |  |  |  |  |  |  |
Class B Common Stock [Member] | Stock Options [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total unrecognized compensation cost (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 600,000 |  |  |  |  |  |  |  |
Class A Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 787,163 | 787,163 |  |  |  |  |  |  |
Purchase shares of common stock (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.25 |  |  |  |  |  |  |  |
Class A Option [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase shares of common stock (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 11 |  |  |  |  |  |  |  |
Class B Option [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 12.5 |  |  |  |  |  |  |  |
Cornerstone Common Options [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Exercise price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 11 |  |  |  |  |  |
Class B Restricted Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued |  |  |  |  |  |  | 101,402 | 135,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
S. Jonas. [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued |  |  |  |  |  |  |  |  | 111,408 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gross proceeds (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5,000,000 |  |  |  |  |  |  |  |  |  |  |
S. Jonas. [Member] | Class B Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares issued |  | 118,596 |  |  |  | 159,016 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
2021 Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 153,879 |  |  |  |  |  |  |  |
2021 Plan [Member] | Non-Employee Directors [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted shares |  |  |  |  |  |  |  |  |  |  |  |  |  | 15,024 |  |  |  |  |  |  |  |  |  |  |  |  |
2021 Plan [Member] | Class B Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,919,025 |
Grant of awards |  |  | 750,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 696,770 |  |
Common stock, shares issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 3,365,795 |  |  |  |  |  |  |  |
RMD 2022 Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, shares issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 10,000 |  |  |  |  |  |  |  |
RMD 2023 Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 16,872 |  |  |  |  |  |  |  |
Common stock, shares issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 46,125 |  |  |  |  |  |  |  |
2018 Equity Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based compensation cost (in Dollars) |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 151,000 |  |  |  |  |  |  |  |  |  |  |  |  |

X
- Definition Represents the amount of aggregate sale price. + References No definition available. + Details
Name: | rfl_AggregateSalePrice
Namespace Prefix: | rfl_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Deducting transaction costs. + References No definition available. + Details
Name: | rfl_DeductingTransactionCosts
Namespace Prefix: | rfl_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition The term of employment agreement periods + References No definition available. + Details
Name: | rfl_EmploymentAgreementTerm
Namespace Prefix: | rfl_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Face amount or stated value per share of common stock. + References No definition available. + Details
Name: | rfl_ExcessStockPerShare
Namespace Prefix: | rfl_
Data Type: | dtr:perShareItemType
Balance Type: | na
Period Type: | instant

X
- Definition Represent the amount of gross proceeds. + References No definition available. + Details
Name: | rfl_GrossProceeds
Namespace Prefix: | rfl_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Percentage of RP Finance top-up shares. + References No definition available. + Details
Name: | rfl_PercentageOfRPFinanceTopUpShares
Namespace Prefix: | rfl_
Data Type: | dtr:percentItemType
Balance Type: | na
Period Type: | duration

X
- Definition The amount of purchase of warrants . + References No definition available. + Details
Name: | rfl_PurchaseOfWarrants
Namespace Prefix: | rfl_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition Restricted shares vested percentage. + References No definition available. + Details
Name: | rfl_RestrictedSharesVestedPercentage
Namespace Prefix: | rfl_
Data Type: | dtr:percentItemType
Balance Type: | na
Period Type: | duration

X
- References No definition available. + Details
Name: | rfl_SaleOfCommonStock
Namespace Prefix: | rfl_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
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