Theorem ccoid

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

	Ref	Expression
Assertion	ccoid	$$⊢\mathrm{comp}=\mathrm{Slot}\mathrm{comp}\left(\mathrm{ndx}\right)$$

Proof

Step	Hyp	Ref	Expression
1		df-cco	$$⊢\mathrm{comp}=\mathrm{Slot}15$$
2		1nn0	$$⊢1\in {\mathbb{N}}_0$$
3		5nn	$$⊢5\in \mathbb{N}$$
4	2 3	decnncl	$$⊢15\in \mathbb{N}$$
5	1 4	ndxid	$$⊢\mathrm{comp}=\mathrm{Slot}\mathrm{comp}\left(\mathrm{ndx}\right)$$