Metamath Proof Explorer


Theorem ontrciOLD

Description: Obsolete version of ontr as of 28-Dec-2024. (Contributed by NM, 11-Jun-1994) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis on.1
|- A e. On
Assertion ontrciOLD
|- Tr A

Proof

Step Hyp Ref Expression
1 on.1
 |-  A e. On
2 ontr
 |-  ( A e. On -> Tr A )
3 1 2 ax-mp
 |-  Tr A