Metamath Proof Explorer


Theorem sq1

Description: The square of 1 is 1. (Contributed by NM, 22-Aug-1999)

Ref Expression
Assertion sq1 ( 1 ↑ 2 ) = 1

Proof

Step Hyp Ref Expression
1 2z 2 ∈ ℤ
2 1exp ( 2 ∈ ℤ → ( 1 ↑ 2 ) = 1 )
3 1 2 ax-mp ( 1 ↑ 2 ) = 1