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 )

Proof

Step	Hyp	Ref	Expression
1		df-hom	⊢ Hom = Slot ; 1 4
2		1nn0	⊢ 1 ∈ ℕ0
3		4nn	⊢ 4 ∈ ℕ
4	2 3	decnncl	⊢ ; 1 4 ∈ ℕ
5	1 4	ndxid	⊢ Hom = Slot ( Hom ‘ ndx )