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Intangible assets, net (Details Narrative) - USD ($) | 12 Months Ended
--- | ---
Dec. 31, 2024 | Dec. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |  |
Amortization expense | $ 183,578 | $ 197,800

X
- Definition Amortization expense. + References No definition available. + Details
Name: | rzlv_AmortizationExpense
Namespace Prefix: | rzlv_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- References No definition available. + Details
Name: | us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration