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Metamath Proof Explorer

Theorem mulridx

Description: Utility theorem: index-independent form of df-mulr . (Contributed by Mario Carneiro, 8-Jun-2013)

		Ref	Expression
	Assertion	mulridx	$⊢ \cdot_{𝑟} = Slot \cdot_{ndx}$

Step	Hyp	Ref	Expression
1		df-mulr	$⊢ \cdot_{𝑟} = Slot 3$
2		3nn	$⊢ 3 \in ℕ$
3	1 2	ndxid	$⊢ \cdot_{𝑟} = Slot \cdot_{ndx}$