Metamath Proof Explorer


Theorem onuniorsuciOLD

Description: Obsolete version of onuniorsuc as of 11-Jan-2025. (Contributed by NM, 13-Jun-1994) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis onssi.1 𝐴 ∈ On
Assertion onuniorsuciOLD ( 𝐴 = 𝐴𝐴 = suc 𝐴 )

Proof

Step Hyp Ref Expression
1 onssi.1 𝐴 ∈ On
2 onuniorsuc ( 𝐴 ∈ On → ( 𝐴 = 𝐴𝐴 = suc 𝐴 ) )
3 1 2 ax-mp ( 𝐴 = 𝐴𝐴 = suc 𝐴 )