Metamath Proof Explorer


Theorem 3p5e8

Description: 3 + 5 = 8. (Contributed by SN, 24-Aug-2026)

Ref Expression
Assertion 3p5e8 ⊢ 3 + 5 = 8

Proof

Step Hyp Ref Expression
1 3cn ⊢ 3 ∈ ℂ
2 2cn ⊢ 2 ∈ ℂ
3 1 2 1 addassi ⊢ 3 + 2 + 3 = 3 + 2 + 3
4 3p2e5 ⊢ 3 + 2 = 5
5 4 oveq1i ⊢ 3 + 2 + 3 = 5 + 3
6 5p3e8 ⊢ 5 + 3 = 8
7 5 6 eqtri ⊢ 3 + 2 + 3 = 8
8 2p3e5 ⊢ 2 + 3 = 5
9 8 oveq2i ⊢ 3 + 2 + 3 = 3 + 5
10 3 7 9 3eqtr3ri ⊢ 3 + 5 = 8