Metamath Proof Explorer


Theorem 2m1e1

Description: 2 - 1 = 1. The result is on the right-hand-side to be consistent with similar proofs like 4p4e8 . (Contributed by David A. Wheeler, 4-Jan-2017) (Proof shortened by Umit Teoman Dogan, 10-Jun-2026)

Ref Expression
Assertion 2m1e1
|- ( 2 - 1 ) = 1

Proof

Step Hyp Ref Expression
1 ax-1cn
 |-  1 e. CC
2 df-2
 |-  2 = ( 1 + 1 )
3 1 1 2 mvrladdi
 |-  ( 2 - 1 ) = 1