Theorem sn-base0

Description: Avoid axioms in base0 by using the discouraged df-base . This kind of axiom save is probably not worth it. (Contributed by SN, 16-Sep-2025) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	sn-base0	$$⊢\varnothing ={\mathrm{Base}}_{\varnothing }$$

Proof

Step	Hyp	Ref	Expression
1		df-base	$$⊢\mathrm{Base}=\mathrm{Slot}1$$
2	1	str0	$$⊢\varnothing ={\mathrm{Base}}_{\varnothing }$$