Theorem edgfid

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

	Ref	Expression
Assertion	edgfid	⊢ .ef = Slot ( .ef ‘ ndx )

Proof

Step	Hyp	Ref	Expression
1		df-edgf	⊢ .ef = Slot ; 1 8
2		1nn0	⊢ 1 ∈ ℕ0
3		8nn	⊢ 8 ∈ ℕ
4	2 3	decnncl	⊢ ; 1 8 ∈ ℕ
5	1 4	ndxid	⊢ .ef = Slot ( .ef ‘ ndx )