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
2 df-2 2 = 1 + 1
3 1 1 2 mvrladdi 2 1 = 1