Metamath Proof Explorer


Theorem 2t2e4

Description: 2 times 2 equals 4. (Contributed by NM, 1-Aug-1999)

Ref Expression
Assertion 2t2e4 ⊢ 2 ⋅ 2 = 4

Proof

Step Hyp Ref Expression
1 2cn ⊢ 2 ∈ ℂ
2 1 2timesi ⊢ 2 ⋅ 2 = 2 + 2
3 2p2e4 ⊢ 2 + 2 = 4
4 2 3 eqtri ⊢ 2 ⋅ 2 = 4