Theorem homndx

Description: Index value of the df-hom slot. (Contributed by Mario Carneiro, 7-Jan-2017) (New usage is discouraged.)

	Ref	Expression
Assertion	homndx	⊢ ( Hom ‘ ndx ) = ; 1 4

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	ndxarg	⊢ ( Hom ‘ ndx ) = ; 1 4