Metamath Proof Explorer


Theorem 2p6e8

Description: 2 + 6 = 8. (Contributed by SN, 24-Aug-2026)

Ref Expression
Assertion 2p6e8 ⊢ 2 + 6 = 8

Proof

Step Hyp Ref Expression
1 2cn ⊢ 2 ∈ ℂ
2 4cn ⊢ 4 ∈ ℂ
3 1 1 2 addassi ⊢ 2 + 2 + 4 = 2 + 2 + 4
4 2p2e4 ⊢ 2 + 2 = 4
5 4 oveq1i ⊢ 2 + 2 + 4 = 4 + 4
6 4p4e8 ⊢ 4 + 4 = 8
7 5 6 eqtri ⊢ 2 + 2 + 4 = 8
8 2p4e6 ⊢ 2 + 4 = 6
9 8 oveq2i ⊢ 2 + 2 + 4 = 2 + 6
10 3 7 9 3eqtr3ri ⊢ 2 + 6 = 8