Theorem eufid

Description: Utility theorem: index-independent form of df-euf . (Contributed by Thierry Arnoux, 22-Mar-2025)

	Ref	Expression
Assertion	eufid	⊢ EuclF = Slot ( EuclF ‘ ndx )

Proof

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