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Intangible assets, net (Details Narrative) - USD ($)	6 Months Ended		12 Months Ended
	Jun. 30, 2024	Jun. 30, 2023	Dec. 31, 2023	Dec. 31, 2022
Goodwill and Intangible Assets Disclosure [Abstract]
Amortization expense	$ 98,940	$ 98,940	$ 197,800	$ 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