Battery Future Acquisition Corp. Quarterly report pursuant to Section 13 or 15(d)

Recurring Fair Value Measurements - Summary Of Reconciliation Of Changes In Fair Value Of warrant Liabilities (Detail) - USD ($)	3 Months Ended			9 Months Ended
	Sep. 30, 2022	Jun. 30, 2022	Mar. 31, 2022	Sep. 30, 2022
Public Warrants [Member]
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Transfer to Level 1	$ 0			$ 10,100,000
Fair Value, Inputs, Level 3 [Member]
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Fair value as of December 31, 2021	3,097,879	$ 4,508,142	$ 19,963,011	19,963,011
Transfer to Level 1			(10,122,569)
Change in fair value	(1,175,095)	(1,410,263)	(5,332,300)
Fair value	1,922,784	3,097,879	4,508,142	1,922,784
Fair Value, Inputs, Level 3 [Member] \| Private Placement Warrants [Member]
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Fair value as of December 31, 2021	3,097,879	4,508,142	9,840,442	9,840,442
Change in fair value	(1,175,095)	(1,410,263)	(5,332,300)
Fair value	$ 1,922,784	$ 3,097,879	4,508,142	1,922,784
Fair Value, Inputs, Level 3 [Member] \| Public Warrants [Member]
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Fair value as of December 31, 2021			10,122,569	$ 10,122,569
Transfer to Level 1			(10,122,569)
Change in fair value			$ 0