Theorem edgfid

Description: Utility theorem: index-independent form of df-edgf . (Contributed by AV, 16-Nov-2021)

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

Proof

Step	Hyp	Ref	Expression
1		df-edgf	$$⊢\mathrm{ef}=\mathrm{Slot}18$$
2		1nn0	$$⊢1\in {\mathbb{N}}_0$$
3		8nn	$$⊢8\in \mathbb{N}$$
4	2 3	decnncl	$$⊢18\in \mathbb{N}$$
5	1 4	ndxid	$$⊢\mathrm{ef}=\mathrm{Slot}\mathrm{ef}\left(\mathrm{ndx}\right)$$