Metamath Proof Explorer


Theorem uni0OLD

Description: Obsolete version of uni0 as of 1-Feb-2026. (Contributed by NM, 16-Sep-1993) Remove use of ax-nul . (Revised by Eric Schmidt, 4-Apr-2007) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion uni0OLD ∅ = ∅

Proof

Step Hyp Ref Expression
1 0ss ∅ ⊆ { ∅ }
2 uni0b ( ∅ = ∅ ↔ ∅ ⊆ { ∅ } )
3 1 2 mpbir ∅ = ∅