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Expenses and Other Non-Operating Income/(Expense), Net - Schedule Of General And Administrative Expenses (Details) - USD ($)	6 Months Ended
	Jun. 30, 2025	Jun. 30, 2024
Expenses And Other Non Operating Income Expense Net [Abstract]
Total	$ 33,263,730	$ 8,972,450

X

- References

No definition available.

+ Details

Name:	rzlv_ExpensesAndOtherNonOperatingIncomeExpenseNetAbstract
Namespace Prefix:	rzlv_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The aggregate total of expenses of managing and administering the affairs of an entity, including affiliates of the reporting entity, which are not directly or indirectly associated with the manufacture, sale or creation of a product or product line.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03(4))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483621/220-10-S99-2

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.6-07(2)(a))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479134/946-220-S99-1

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration