Metamath Proof Explorer


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 ∅ = ( Base ‘ ∅ )

Proof

Step Hyp Ref Expression
1 df-base Base = Slot 1
2 1 str0 ∅ = ( Base ‘ ∅ )