Metamath Proof Explorer


Theorem peano3OLD

Description: Obsolete version of peano3 as of 10-Jun-2026. (Contributed by NM, 3-Sep-2003) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion peano3OLD
|- ( A e. _om -> suc A =/= (/) )

Proof

Step Hyp Ref Expression
1 nsuceq0
 |-  suc A =/= (/)
2 1 a1i
 |-  ( A e. _om -> suc A =/= (/) )