Metamath Proof Explorer


Theorem i2

Description: _i squared. (Contributed by NM, 6-May-1999)

Ref Expression
Assertion i2 ⊢ i 2 = − 1

Proof

Step Hyp Ref Expression
1 ax-icn ⊢ i ∈ ℂ
2 1 sqvali ⊢ i 2 = i ⁢ i
3 ixi ⊢ i ⁢ i = − 1
4 2 3 eqtri ⊢ i 2 = − 1