Metamath Proof Explorer


Theorem 2p3e5

Description: 2 + 3 = 5. (Contributed by SN, 24-Aug-2026)

Ref Expression
Assertion 2p3e5 ⊢ 2 + 3 = 5

Proof

Step Hyp Ref Expression
1 2cn ⊢ 2 ∈ ℂ
2 ax-1cn ⊢ 1 ∈ ℂ
3 1 2 1 addassi ⊢ 2 + 1 + 2 = 2 + 1 + 2
4 2p1e3 ⊢ 2 + 1 = 3
5 4 oveq1i ⊢ 2 + 1 + 2 = 3 + 2
6 3p2e5 ⊢ 3 + 2 = 5
7 5 6 eqtri ⊢ 2 + 1 + 2 = 5
8 1p2e3 ⊢ 1 + 2 = 3
9 8 oveq2i ⊢ 2 + 1 + 2 = 2 + 3
10 3 7 9 3eqtr3ri ⊢ 2 + 3 = 5