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Metamath Proof Explorer

Theorem homid

Description: Utility theorem: index-independent form of df-hom . (Contributed by Mario Carneiro, 7-Jan-2017)

		Ref	Expression
	Assertion	homid	$⊢ Hom = Slot Hom (ndx)$

Step	Hyp	Ref	Expression
1		df-hom	$⊢ Hom = Slot 14$
2		1nn0	$⊢ 1 \in ℕ_{0}$
3		4nn	$⊢ 4 \in ℕ$
4	2 3	decnncl	$⊢ 14 \in ℕ$
5	1 4	ndxid	$⊢ Hom = Slot Hom (ndx)$